51. f(x) = sin(x¹) 52. f(x) = 10*

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 49E
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56

52

51

binomial series, or the Maclaurin series for et, sin x, tan¯¹x,
and ln(1 + x).
47. f(x)
=
x²
1 + x
49. f(x) = ln(4 − x)
51. f(x) = sin(x4)
53. f(x) = 1/4/16 - x
е
je ²
X
55. Evaluate
48. ƒ(x) = tan¯¹(x²)
50. f(x) = xe
52. f(x) = 10*
54. f(x) = (1 – 3x)-5
dx as an infinite series.
56. Use series to approximate ſ √1 + x4 dx correct to two deci-
mal places.
Transcribed Image Text:binomial series, or the Maclaurin series for et, sin x, tan¯¹x, and ln(1 + x). 47. f(x) = x² 1 + x 49. f(x) = ln(4 − x) 51. f(x) = sin(x4) 53. f(x) = 1/4/16 - x е je ² X 55. Evaluate 48. ƒ(x) = tan¯¹(x²) 50. f(x) = xe 52. f(x) = 10* 54. f(x) = (1 – 3x)-5 dx as an infinite series. 56. Use series to approximate ſ √1 + x4 dx correct to two deci- mal places.
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