 11.3.1: Draw a picture to show that o ` n2 1 n1.3 , y ` 1 1 x 1.3 dx What c...
 11.3.2: Suppose f is a continuous positive decreasing function for x > 1 an...
 11.3.3: 38 Use the Integral Test to determine whether the series is converg...
 11.3.4: 38 Use the Integral Test to determine whether the series is converg...
 11.3.5: 38 Use the Integral Test to determine whether the series is converg...
 11.3.6: 38 Use the Integral Test to determine whether the series is converg...
 11.3.7: 38 Use the Integral Test to determine whether the series is converg...
 11.3.8: 38 Use the Integral Test to determine whether the series is converg...
 11.3.9: 926 Determine whether the series is convergent or divergent.
 11.3.10: 926 Determine whether the series is convergent or divergent.
 11.3.11: 926 Determine whether the series is convergent or divergent.
 11.3.12: 926 Determine whether the series is convergent or divergent.
 11.3.13: 926 Determine whether the series is convergent or divergent.
 11.3.14: 926 Determine whether the series is convergent or divergent.
 11.3.15: 926 Determine whether the series is convergent or divergent.
 11.3.16: 926 Determine whether the series is convergent or divergent.
 11.3.17: 926 Determine whether the series is convergent or divergent.
 11.3.18: 926 Determine whether the series is convergent or divergent.
 11.3.19: 926 Determine whether the series is convergent or divergent.
 11.3.20: 926 Determine whether the series is convergent or divergent.
 11.3.21: 926 Determine whether the series is convergent or divergent.
 11.3.22: 926 Determine whether the series is convergent or divergent.
 11.3.23: 926 Determine whether the series is convergent or divergent.
 11.3.24: 926 Determine whether the series is convergent or divergent.
 11.3.25: 926 Determine whether the series is convergent or divergent.
 11.3.26: 926 Determine whether the series is convergent or divergent.
 11.3.27: 2728 Explain why the Integral Test cant be used to determine whethe...
 11.3.28: 2728 Explain why the Integral Test cant be used to determine whethe...
 11.3.29: 2932 Find the values of p for which the series is convergent.
 11.3.30: 2932 Find the values of p for which the series is convergent.
 11.3.31: 2932 Find the values of p for which the series is convergent.
 11.3.32: 2932 Find the values of p for which the series is convergent.
 11.3.33: The Riemann zetafunction is defined by sxd o ` n1 1 nx and is used...
 11.3.34: Leonhard Euler was able to calculate the exact sum of the pseries ...
 11.3.35: uler also found the sum of the pseries with p 4: s4d o ` n1 1 n4 4...
 11.3.36: (a) Find the partial sum s10 of the series o` n1 1yn4 . Estimate th...
 11.3.37: (a) Use the sum of the first 10 terms to estimate the sum of the se...
 11.3.38: Find the sum of the series o` n1 ne22n correct to four decimal place
 11.3.39: Estimate o` n1 s2n 1 1d 26 correct to five decimal places.
 11.3.40: How many terms of the series o` n2 1yfnsln nd 2 g would you need to...
 11.3.41: Show that if we want to approximate the sum of the series o` n1 n21...
 11.3.42: (a) Show that the serieso` n1 sln nd 2 yn2 is convergent. (b) Find ...
 11.3.43: (a) Use (4) to show that if sn is the nth partial sum of the harmon...
 11.3.44: Use the following steps to show that the sequence tn 1 1 1 2 1 1 3 ...
 11.3.45: Find all positive values of b for which the series o` n1 bln n conv...
 11.3.46: Find all values of c for which the following series converges. o ` ...
Solutions for Chapter 11.3: The Integral Test and Estimates of Sums
Full solutions for Single Variable Calculus: Early Transcendentals  8th Edition
ISBN: 9781305270336
Solutions for Chapter 11.3: The Integral Test and Estimates of Sums
Get Full SolutionsSince 46 problems in chapter 11.3: The Integral Test and Estimates of Sums have been answered, more than 38287 students have viewed full stepbystep solutions from this chapter. This textbook survival guide was created for the textbook: Single Variable Calculus: Early Transcendentals, edition: 8. Chapter 11.3: The Integral Test and Estimates of Sums includes 46 full stepbystep solutions. Single Variable Calculus: Early Transcendentals was written by and is associated to the ISBN: 9781305270336. This expansive textbook survival guide covers the following chapters and their solutions.

Anchor
See Mathematical induction.

Complex fraction
See Compound fraction.

Determinant
A number that is associated with a square matrix

End behavior
The behavior of a graph of a function as.

Exponential function
A function of the form ƒ(x) = a ? bx,where ?0, b > 0 b ?1

Frequency distribution
See Frequency table.

Length of an arrow
See Magnitude of an arrow.

Limit to growth
See Logistic growth function.

Linear inequality in x
An inequality that can be written in the form ax + b < 0 ,ax + b … 0 , ax + b > 0, or ax + b Ú 0, where a and b are real numbers and a Z 0

Mathematical induction
A process for proving that a statement is true for all natural numbers n by showing that it is true for n = 1 (the anchor) and that, if it is true for n = k, then it must be true for n = k + 1 (the inductive step)

Minor axis
The perpendicular bisector of the major axis of an ellipse with endpoints on the ellipse.

nth root of a complex number z
A complex number v such that vn = z

Parametric equations for a line in space
The line through P0(x 0, y0, z 0) in the direction of the nonzero vector v = <a, b, c> has parametric equations x = x 0 + at, y = y 0 + bt, z = z0 + ct.

Permutations of n objects taken r at a time
There are nPr = n!1n  r2! such permutations

Pole
See Polar coordinate system.

Pythagorean identities
sin2 u + cos2 u = 1, 1 + tan2 u = sec2 u, and 1 + cot2 u = csc2 u

Relation
A set of ordered pairs of real numbers.

Seconddegree equation in two variables
Ax 2 + Bxy + Cy2 + Dx + Ey + F = 0, where A, B, and C are not all zero.

Sum of an infinite series
See Convergence of a series

Upper bound for ƒ
Any number B for which ƒ(x) ? B for all x in the domain of ƒ.