For X ∼ Poisson(λ), find E{1/(X+1)}

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.1: Techniques For Finding Derivatives
Problem 35E
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For X ∼ Poisson(λ), find E{1/(X+1)}
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In step 3, how does (x+1)x! become (x+1)! in the denominator of the summation?

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