Mathematics · 2017
JEE Main · 9 April 2017, Shift 1 · Q76
If lim_n → ∞ (1^a+2^a+… …..+n^a)/((n+1)^a-1[(n a+1)+(n a+2)+…..+(n a+n)])=1/60 for some positive real number a, then a is equal to:
If
$$\lim _{n \rightarrow \infty} \frac{1^a+2^a+\ldots \ldots . .+n^a}{(n+1)^{a-1}[(n a+1)+(n a+2)+\ldots . .+(n a+n)]}=\frac{1}{60}
$$
for some positive real number a, then a is equal to :
Official answer
(1)
$\displaystyle 7$
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JEE Main 2017 Mathematics question, with the answer from NTA’s final answer key. Where our answers come from.