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Question

For $$a\in R$$ (the set of all real numbers), $$a\neq -1$$. $$\lim _{ n\rightarrow \infty  }{ \frac { \left( { 1 }^{ a }+{ 2 }^{ a }+......+{ n }^{ a } \right)  }{ { \left( n+1 \right)  }^{ a-1 }\left[ \left( na+1 \right) +\left( na+2 \right) +.......+\left( na+n \right)  \right]  } =\dfrac { 1 }{ 60 }  } $$, then $$a=$$


A
5
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B
7
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C
152
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D
172
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Solution

The correct options are
B $$7$$
D $$-\dfrac {17}{2}$$

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