Compute limit by induction ("inductive step of existence" issue) – math.stackexchange.com

Compute limit by induction ("inductive step of existence" issue) – math.stackexchange.com

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I was asked to compute the limit $\lim\limits_{x \to 1} \dfrac{\displaystyle\prod_{k=1}^n (1+x^k) - 2^n}{x-1}$ My approach was as follows i) Define $L(n):=\lim\limits_{x \to 1} \dfrac{\...

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