Show that if p and q are positive integers, then the powerseriesk=0(k + p)!k!(k +

Chapter 9, Problem 60

(choose chapter or problem)

Show that if p and q are positive integers, then the power series

                   \(\sum_{k=0}^{\infty} \frac{(k+p) !}{k !(k+q) !}\)

has a radius of converge of \(+\infty\).

Equation Transcription:

 

Text Transcription:

sum_k=0^ infinity (k+p)!/k!(k+q)!

+infinity.

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