For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the oper interval of convergence. f(t) = c + Σ Σ f(t) = C+ n=0 + The open interval of convergence is: f(t) = | tan (7x) x da T (Give your answer in interval notation.) *********************

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 50E
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For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open
interval of convergence.
f(t) = c + Σ
f(t):
=
C+
+
The open interval of convergence is:
T
tan-¹(7x)
f(t) = [²
T
x
dx
T
(Give your answer in interval notation.)
Transcribed Image Text:For the following indefinite integral, find the full power series centered at x = 0 and then give the first 5 nonzero terms of the power series and the open interval of convergence. f(t) = c + Σ f(t): = C+ + The open interval of convergence is: T tan-¹(7x) f(t) = [² T x dx T (Give your answer in interval notation.)
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