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JEE Main 2002

Exam: JEE Main
Year: 2002
Subject: Mathematics
Chapter: Limits

JEE Main 2002 · Mathematics · Limits

Lim_ n arrow ∞ 1^p+2^p+3^p+ +n^p n^ p+1 is

\operatorname{Lim}_{n

\rightarrow \infty

}

\frac{1^p+2^p+3^p+\ldots+n^p}{n^{p+1}}

is

Lim_ n arrow ∞ 1^p+2^p+3^p+ +n^p n^ p+1 is

Options

A $\frac{1}{p+1}$
B $\frac{1}{1-p}$
C $\frac{1}{p}-\frac{1}{p-1}$
D $\frac{1}{p+2}$

Correct answer

A. $\frac{1}{p+1}$

Step-by-step solution

Lim_ n arrow ∞ 1^p+2^p+3^p+ +n^p n^ p+1 is

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