 11.1: Determine whether the sequence is convergent or divergent. If it is...
 11.2: Determine whether the sequence is convergent or divergent. If it is...
 11.3: Determine whether the sequence is convergent or divergent. If it is...
 11.4: Determine whether the sequence is convergent or divergent. If it is...
 11.5: Determine whether the sequence is convergent or divergent. If it is...
 11.6: Determine whether the sequence is convergent or divergent. If it is...
 11.7: Determine whether the sequence is convergent or divergent. If it is...
 11.8: Determine whether the sequence is convergent or divergent. If it is...
 11.9: A sequence is defined recursively by the equations , . Show that is...
 11.10: Show that and use a graph to find the smallest value of that corres...
 11.11: Determine whether the series is convergent or divergent.
 11.12: Determine whether the series is convergent or divergent.
 11.13: Determine whether the series is convergent or divergent.
 11.14: Determine whether the series is convergent or divergent.
 11.15: Determine whether the series is convergent or divergent.
 11.16: Determine whether the series is convergent or divergent.
 11.17: Determine whether the series is convergent or divergent.
 11.18: Determine whether the series is convergent or divergent.
 11.19: Determine whether the series is convergent or divergent.
 11.20: Determine whether the series is convergent or divergent.
 11.21: Determine whether the series is convergent or divergent.
 11.22: Determine whether the series is convergent or divergent.
 11.23: Determine whether the series is conditionally convergent, absolutel...
 11.24: Determine whether the series is conditionally convergent, absolutel...
 11.25: Determine whether the series is conditionally convergent, absolutel...
 11.26: Determine whether the series is conditionally convergent, absolutel...
 11.27: Find the sum of the series.
 11.28: Find the sum of the series.
 11.29: Find the sum of the series.
 11.30: Find the sum of the series.
 11.31: Find the sum of the series.
 11.32: Express the repeating decimal as a fraction.
 11.33: Show that or all .
 11.34: For what values of does the series converge?
 11.35: Find the sum of the series correct to four decimal places
 11.36: (a) Find the partial sum of the series and estimate the error in us...
 11.37: Use the sum of the first eight terms to approximate the sum of the ...
 11.38: (a) Show that the series is convergent. (b) Deduce that
 11.39: Prove that if the series is absolutely convergent, then the series ...
 11.40: Find the radius of convergence and interval of convergence of the s...
 11.41: Find the radius of convergence and interval of convergence of the s...
 11.42: Find the radius of convergence and interval of convergence of the s...
 11.43: Find the radius of convergence and interval of convergence of the s...
 11.44: Find the radius of convergence of the series
 11.45: Find the Taylor series of
 11.46: Find the Taylor series of
 11.47: Find the Maclaurin series for and its radius of convergence. You ma...
 11.48: Find the Maclaurin series for and its radius of convergence. You ma...
 11.49: Find the Maclaurin series for and its radius of convergence. You ma...
 11.50: Find the Maclaurin series for and its radius of convergence. You ma...
 11.51: Find the Maclaurin series for and its radius of convergence. You ma...
 11.52: Find the Maclaurin series for and its radius of convergence. You ma...
 11.53: Find the Maclaurin series for and its radius of convergence. You ma...
 11.54: Find the Maclaurin series for and its radius of convergence. You ma...
 11.55: Evaluate as an infinite series
 11.56: Use series to approximate correct to two decimalplaces.
 11.57: (a) Approximate by a Taylor polynomial with degree at the number . ...
 11.58: (a) Approximate by a Taylor polynomial with degree at the number . ...
 11.59: Use series to evaluate the following limit.
 11.60: The force due to gravity on an object with mass at a height above t...
 11.61: Suppose that for all . (a) If is an odd function, show that (b) If ...
 11.62: If , show that .
Solutions for Chapter 11: Calculus, 7th Edition
Full solutions for Calculus,  7th Edition
ISBN: 9780538497817
Solutions for Chapter 11
Get Full SolutionsCalculus, was written by Sieva Kozinsky and is associated to the ISBN: 9780538497817. Chapter 11 includes 62 full stepbystep solutions. This expansive textbook survival guide covers the following chapters and their solutions. This textbook survival guide was created for the textbook: Calculus,, edition: 7. Since 62 problems in chapter 11 have been answered, more than 3894 students have viewed full stepbystep solutions from this chapter.

Arc length formula
The length of an arc in a circle of radius r intercepted by a central angle of u radians is s = r u.

Arccosecant function
See Inverse cosecant function.

Cardioid
A limaçon whose polar equation is r = a ± a sin ?, or r = a ± a cos ?, where a > 0.

Compound fraction
A fractional expression in which the numerator or denominator may contain fractions

Difference of complex numbers
(a + bi)  (c + di) = (a  c) + (b  d)i

Equally likely outcomes
Outcomes of an experiment that have the same probability of occurring.

Equivalent systems of equations
Systems of equations that have the same solution.

Monomial function
A polynomial with exactly one term.

Opposite
See Additive inverse of a real number and Additive inverse of a complex number.

Parallel lines
Two lines that are both vertical or have equal slopes.

Partial fraction decomposition
See Partial fractions.

Power function
A function of the form ƒ(x) = k . x a, where k and a are nonzero constants. k is the constant of variation and a is the power.

Product of matrices A and B
The matrix in which each entry is obtained by multiplying the entries of a row of A by the corresponding entries of a column of B and then adding

Quadratic equation in x
An equation that can be written in the form ax 2 + bx + c = 01a ? 02

Random numbers
Numbers that can be used by researchers to simulate randomness in scientific studies (they are usually obtained from lengthy tables of decimal digits that have been generated by verifiably random natural phenomena).

Reflection across the yaxis
x, y and (x,y) are reflections of each other across the yaxis.

Sinusoidal regression
A procedure for fitting a curve y = a sin (bx + c) + d to a set of data

System
A set of equations or inequalities.

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

Yscl
The scale of the tick marks on the yaxis in a viewing window.