if

\small \lim_{n \to \infty }\frac{1^{a}+2^{a}+......+n^{a}}{\left ( n+1 \right )^{a-1}\left [ \left ( na+1 \right )+\left ( na+2 \right ) +.......+\left ( na+n \right )\right ]}=\frac{1}{60}

for some positive real number a, then a is equal to :
Option: 1 7

Option: 2 8

Option: 3 \frac{15}{2}

Option: 4 \frac{17}{2}

Answers (1)

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