BuyFind

Study Guide for Stewart's Single V...

8th Edition
Stewart + 3 others
Publisher: Cengage Learning
ISBN: 9781305279148
BuyFind

Study Guide for Stewart's Single V...

8th Edition
Stewart + 3 others
Publisher: Cengage Learning
ISBN: 9781305279148

Solutions

Chapter
Section
Chapter 11.9, Problem 2PT
Textbook Problem

For f ( x ) = n = 0 x 2 n n ! , f′(x) =

  1. a) n = 1 x 2 n 1 n !
  2. b) n = 1 2 x 2 n 1 ( n 1 ) !
  3. c) n = 1 2 n x 2 n 1 n !
  4. d) n = 1 ( 2 n 1 ) x 2 n 1 ( n 1 ) !

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Chapter 11 Solutions

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 11.2 - True or False: n=1an converges if and only if...Ch. 11.2 - True or False: If converges and converges, then ...Ch. 11.2 - The harmonic series is: 1 + 2 + 3 + 4 + … Ch. 11.2 - True or False: converges. Ch. 11.2 - n=12(14)n converges to: a) 94 b) 2 c) 23 d) the...Ch. 11.2 - True or False: is a geometric series. Ch. 11.3 - For what values of p does the series ...Ch. 11.3 - True or False: If f(x) is continuous and...Ch. 11.3 - True or False: By the Integral Test, converges. Ch. 11.3 - True or False: is a convergent series. Ch. 11.3 - True or False: is a convergent series. Ch. 11.3 - For , an upper bound estimate for s − s6 (where s6...Ch. 11.4 - Sometimes, Always, or Never: If 0 ≤ an ≤ bn for...Ch. 11.4 - True or False: is a convergent series. Ch. 11.4 - True or False: n=1n+n3n2/3+n3/2+1 is a convergent...Ch. 11.4 - True or False: is a convergent series. Ch. 11.4 - converges by the Comparison Test, comparing it to...Ch. 11.5 - True or False: is a convergent series. Ch. 11.5 - True or False: n=1(1)nn+14 is a convergent series.Ch. 11.5 - For what value of n is the nth partial sum within...Ch. 11.5 - True or False: The Alternating Series Test may be...Ch. 11.6 - True or False: If converges absolutely, then it...Ch. 11.6 - True or False: If , then converge absolutely. Ch. 11.6 - True or False: Every series must do one of these:...Ch. 11.6 - Which is true about the series...Ch. 11.6 - Which is true about the series...Ch. 11.6 - True or False If the series converges to a number...Ch. 11.7 - True or False: n=21(lnn)n converges.Ch. 11.7 - True or False: converges. Ch. 11.7 - True or False: n=1(1)nnn+3 converges.Ch. 11.7 - True or False: converges. Ch. 11.7 - True or False: converges conditionally. Ch. 11.7 - True or False: converges absolutely. Ch. 11.8 - Sometimes, Always, or Never: The interval of...Ch. 11.8 - True or False: If a number p is in the interval of...Ch. 11.8 - For , f(x) = 0 2 3 f(3) does not exist Ch. 11.8 - The interval of convergence of is: [−1, 1] [−1,...Ch. 11.8 - The radius of convergence of is: 1 3 ∞ Ch. 11.9 - Given that for all x, a power series for ...Ch. 11.9 - For , f′(x) = Ch. 11.9 - Using for |x| < 1, Ch. 11.9 - Using for |x| < 1 and differentiation, find a...Ch. 11.9 - From 11x=n=0xn for |x| 1 and substituting 4x2 for...Ch. 11.10 - Given the Taylor Series , a Taylor series for ex/2...Ch. 11.10 - Using the power series for cos x, the sum of the...Ch. 11.10 - The nth term in the Taylor series centered at 1...Ch. 11.10 - The Taylor polynomial of degree 3 for f(x) = x(ln...Ch. 11.10 - Use the Taylor polynomial of degree 2 for ...Ch. 11.10 - True or False: If Tn(x) is the nth Taylor...Ch. 11.10 - If f(x) = sin 2x, an upper bound for |f(n + 1)(x)|...Ch. 11.10 - If we know that then the absolute value of the...Ch. 11.10 - Ch. 11.10 - is the binomial series for: Ch. 11.10 - Using a binomial series, the Maclaurin series for ...Ch. 11.10 - From the Maclaurin series for ln(1 + x) and sin x,...Ch. 11.11 - The quadratic approximation for at a = 1 is: Ch. 11.11 - If the Maclaurin polynomial of degree 2 for f(x) =...Ch. 11.11 - What degree Taylor polynomial about a = 1 is...

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