For a positive integer $n,$ let
\[f(n) = \frac{1}{2^n} + \frac{1}{3^n} + \frac{1}{4^n} + \dotsb.\]Find
\[\sum_{n = 2}^\infty f(n).\]
Question:
For a positive integer $n,$ let
\[f(n) = \frac{1}{2^n} + \frac{1}{3^n} + \frac{1}{4^n} + \dotsb.\]Find
\[\sum_{n = 2}^\infty f(n).\]
Answer:
Let's think step by step.

user
1
For a positive integer $n,$ let
\[f(n) = \frac{1}{2^n} + \frac{1}{3^n} + \frac{1}{4^n} + \dotsb.\]Find
\[\sum_{n = 2}^\infty f(n).\]
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