A calculus problem by Sabhrant .

Calculus Level 3

limn(1n+1+1n+2+1n+3++1n+1010100)=? \displaystyle \lim_{n \to \infty} \left( \dfrac{1}{n+1}+\dfrac{1}{n+2}+\dfrac{1}{n+3}+\cdots+\dfrac{1}{n+10^{10^{100}}} \right) =\, ?


Inspiration.

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