4. The pattern of a sequence of functions is given by ao (x) = e-=? a, (2) = [c~*'dz az (x) = dx ´dx ) dx ) dx (a) Express the general term ar (x) of the sequence in the power series form (b) For what values of x, the series

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 81E
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4. The pattern of a sequence of functions is given by
ao (x) = e==?
a1 (x) =
dx ) dx
az (x) =
dx ) dx ) dx
(a)
Express the general term ar (x) of the sequence in the power series form.
(b)
For what values of x, the series
ar (x)
k=0
is convergent? Show your work!!!
Transcribed Image Text:4. The pattern of a sequence of functions is given by ao (x) = e==? a1 (x) = dx ) dx az (x) = dx ) dx ) dx (a) Express the general term ar (x) of the sequence in the power series form. (b) For what values of x, the series ar (x) k=0 is convergent? Show your work!!!
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