We de Notice this.)

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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Question
We define a new function h via the equation
n!
h(x) =
(2n)!
n=0
Notice thath is defined as a power series. Its interval of convergence is R. (You do not need to prove
this.)
Transcribed Image Text:We define a new function h via the equation n! h(x) = (2n)! n=0 Notice thath is defined as a power series. Its interval of convergence is R. (You do not need to prove this.)
2. Calculate the value of the sum
Σ
(n+2)!
(2n)!
n=0
Write your answer in terms of values of h and its derivatives.
Hint: If you do not know where to start, think first of how you would calculate the value of the
(n+1)!
Σ
This is only to help you get started. You do not need to submit it.
sum
(2n)!
n=0
Transcribed Image Text:2. Calculate the value of the sum Σ (n+2)! (2n)! n=0 Write your answer in terms of values of h and its derivatives. Hint: If you do not know where to start, think first of how you would calculate the value of the (n+1)! Σ This is only to help you get started. You do not need to submit it. sum (2n)! n=0
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