 9.3.1: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.2: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.3: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.4: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.5: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.6: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.7: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.8: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.9: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.10: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.11: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.12: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.13: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.14: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.15: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.16: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.17: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.18: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.19: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.20: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.21: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.22: ?Using the Integral Test In Exercises 122, confirm that the Integr...
 9.3.23: ?Using the Integral Test In Exercises 23 and 24, use the Integral T...
 9.3.24: ?Using the Integral Test In Exercises 23 and 24, use the Integral T...
 9.3.25: ?Requirements of the Integral Test In Exercises 2528, explain why ...
 9.3.26: ?Requirements of the Integral Test In Exercises 2528, explain why ...
 9.3.27: ?Requirements of the Integral Test In Exercises 2528, explain why ...
 9.3.28: ?Requirements of the Integral Test In Exercises 2528, explain why ...
 9.3.29: ?Using the Integral Test In Exercises 2932, use the Integral Test ...
 9.3.30: ?Using the Integral Test In Exercises 2932, use the Integral Test ...
 9.3.31: ?Using the Integral Test In Exercises 2932, use the Integral Test ...
 9.3.32: ?Using the Integral Test In Exercises 2932, use the Integral Test ...
 9.3.33: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.34: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.35: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.36: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.37: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.38: ?Using a pSeries In Exercises 3338, use Theorem 9.11 to determine...
 9.3.39: ?Numerical and Graphical Analysis Use a graphing utility to find th...
 9.3.40: ?Numerical Reasoning Because the harmonic series diverges, it follo...
 9.3.41: Integral Test State the Integral Test and give an example of its use.
 9.3.42: pSeries Define a series and state the requirements for its converg...
 9.3.43: ?Using a Series A friend in your calculus class tells you that the ...
 9.3.44: ?Using a Function Let f be a positive,continuous, and decreasing fu...
 9.3.45: ?Using a Series Use a graph to show that the inequality is true. Wh...
 9.3.46: ?HOW DO YOU SEE IT? The graphs show the sequences of partial sums o...
 9.3.47: ?Finding Values In Exercises 4752, find the positive values of p f...
 9.3.48: ?Finding Values In Exercises 4752, find the positive values p of f...
 9.3.49: ?Finding Values In Exercises 4752, find the positive values p of f...
 9.3.50: ?Finding Values In Exercises 4752, find the positive values p of f...
 9.3.51: ?Finding Values In Exercises 4752, find the positive values p of f...
 9.3.52: ?Finding Values In Exercises 4752, find the positive values p of f...
 9.3.53: ?Proof Let f be a positive, continuous, and decreasing function for...
 9.3.54: ?Using a Remainder Show that the result of Exercise 53 can be writt...
 9.3.55: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.56: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.57: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.58: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.59: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.60: ?Approximating a Sum In Exercises 5560, use the result of Exercise...
 9.3.61: ?Finding a Value In Exercises 6164, use the result of Exercise 53 ...
 9.3.62: ?Finding a Value In Exercises 6164, use the result of Exercise 53 ...
 9.3.63: ?Finding a Value In Exercises 6164, use the result of Exercise 53 ...
 9.3.64: ?Finding a Value In Exercises 6164, use the result of Exercise 53 ...
 9.3.65: ?Comparing Series(a) Show that \(\sum_{n=2}^{\infty} \frac{1}{n^{1....
 9.3.66: ?Using a pSeries Ten terms are used to approximate a convergent se...
 9.3.67: ?Euler’s Contact Let\(S_{n}=\sum_{k=1}^{n} \frac{1}{k}=1+\frac{1}{2...
 9.3.68: ?Finding a Sum Find the sum of the series\(\sum_{n=2}^{\infty} \ln ...
 9.3.69: ?Using a Series Consider the series \(\sum_{n=2}^{\infty} x^{\ln n}...
 9.3.70: ?Riemann Zeta Function The Riemann zeta function for real numbers i...
 9.3.71: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.72: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.73: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.74: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.75: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.76: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.77: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.78: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.79: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.80: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.81: ?Review In Exercises 7182, determine the convergence or divergence...
 9.3.82: ?Review In Exercises 7182, determine the convergence or divergence...
Solutions for Chapter 9.3: The Integral Test and pSeries
Full solutions for Calculus: Early Transcendental Functions  6th Edition
ISBN: 9781285774770
Solutions for Chapter 9.3: The Integral Test and pSeries
Get Full SolutionsChapter 9.3: The Integral Test and pSeries includes 82 full stepbystep solutions. Since 82 problems in chapter 9.3: The Integral Test and pSeries have been answered, more than 185572 students have viewed full stepbystep solutions from this chapter. Calculus: Early Transcendental Functions was written by and is associated to the ISBN: 9781285774770. This textbook survival guide was created for the textbook: Calculus: Early Transcendental Functions, edition: 6. This expansive textbook survival guide covers the following chapters and their solutions.

Bounded above
A function is bounded above if there is a number B such that ƒ(x) ? B for all x in the domain of ƒ.

Causation
A relationship between two variables in which the values of the response variable are directly affected by the values of the explanatory variable

Confounding variable
A third variable that affects either of two variables being studied, making inferences about causation unreliable

Doubleangle identity
An identity involving a trigonometric function of 2u

Factor
In algebra, a quantity being multiplied in a product. In statistics, a potential explanatory variable under study in an experiment, .

Identity
An equation that is always true throughout its domain.

Index of summation
See Summation notation.

Initial side of an angle
See Angle.

Magnitude of an arrow
The magnitude of PQ is the distance between P and Q

Numerical derivative of ƒ at a
NDER f(a) = ƒ1a + 0.0012  ƒ1a  0.00120.002

Period
See Periodic function.

Present value of an annuity T
he net amount of your money put into an annuity.

Principle of mathematical induction
A principle related to mathematical induction.

Righthand limit of ƒ at x a
The limit of ƒ as x approaches a from the right.

RRAM
A Riemann sum approximation of the area under a curve ƒ(x) from x = a to x = b using x1 as the righthand end point of each subinterval.

Sinusoid
A function that can be written in the form f(x) = a sin (b (x  h)) + k or f(x) = a cos (b(x  h)) + k. The number a is the amplitude, and the number h is the phase shift.

Slopeintercept form (of a line)
y = mx + b

Solve a system
To find all solutions of a system.

Unit vector
Vector of length 1.

Zero factorial
See n factorial.