prove that Σ_(n=−∞) ^∞ (1/((ax+1)^n )) =−(π/a^n ) lim_(x→−(1/a)) (1/((n−1)!)){cotan(πx)}^((n−1))


Question and Answers Forum

All Questions Topic List
Relation and Functions Questions
Previous in All Question Next in All Question
Previous in Relation and Functions Next in Relation and Functions
Question Number 108688 by abdomsup last updated on 18/Aug/20
$prove that Σ_(n=−∞) ^∞ (1/((ax+1)^n )) =−(π/a^n ) lim_(x→−(1/a)) (1/((n−1)!)){cotan(πx)}^((n−1))$
$p r o v e t h a t$ $\sum_{n = - \infty}^{\infty} \frac{1}{{(a x + 1)}^{n}}$ $= - \frac{π}{a^{n}} {l i m}_{x \to - \frac{1}{a}} \frac{1}{(n - 1)!} {c o t a n (π x)}^{(n - 1)}$
Commented by mathdave last updated on 18/Aug/20

$g o a h e a d a n d p r o v e d a t$
Commented by mathmax by abdo last updated on 18/Aug/20

$this question is not for you sir . . .$
Commented by mathdave last updated on 18/Aug/20

$i t h o u g h t h e a s k i n g m e t o p r o v e d a t$
Commented by mathmax by abdo last updated on 18/Aug/20

$no sir . . .$
Terms of Service
Privacy Policy
Contact: info@tinkutara.com

Question and Answers Forum