Limit

Real Analysis
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jacks
Posts: 102
Joined: Thu Nov 12, 2015 5:26 pm
Location: Himachal Pradesh (INDIA)

Limit

#1

Post by jacks »

If \(\displaystyle a\in \mathbb{R}\) and \(\displaystyle a\neq -1\). Then \(\displaystyle \lim_{n\rightarrow \infty}\frac{\left(1^a+2^a+\cdots+n^a\right)}{(n+1)^{a-1}\cdot \left[(na+1)+(na+2)+\cdots+(na+n)\right]} = \frac{1}{60}\)

Then value of \(a\) is (which one is Right) ?


\(\displaystyle (a)\;\; 5 \;\;\;\;\;\;\;\;\;\; \; (b)\;\; 7 \;\;\;\;\;\;\;\;\;\;(c)\;\; -\frac{15}{2}\;\;\;\;\;\;\;\;\;\; (d)\;\; -\frac{17}{2}\)
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