definite-integral

Question: $\underset{n\to \infty }{\mathop{\lim }}\,\frac{{{1}^{p}}+{{2}^{p}}+{{3}^{p}}+.....+{{n}^{p}}}{{{n}^{p+1}}}=$

1) $\frac{1}{p+1}$

2) $\frac{1}{1-p}$

3) $\frac{1}{p}-\frac{1}{p-1}$

4) $\underset{x\to 0-}{\mathop{\lim }}\,f(x)=0$

Solution:

Explanation: No Explanation

Summation of series by definite Integration

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