Limitless

Calculus Level 3

lim ⁡ N → ∞ ( 1 N 2 + 1 + 2 N 2 + 2 + 3 N 2 + 3 + ⋯ + N N 2 + N ) = ? \large \lim_{N\to\infty} \left( \dfrac1{N^2+1} + \dfrac2{N^2+2} + \dfrac3{N^2+3} + \cdots + \dfrac N{N^2+N} \right) = \, ?


The answer is 0.5.

Yash Dev Lamba by Yash Dev Lamba , 23, India

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1 solution

Yash Dev Lamba
Jan 22, 2016

0 Helpful 0 Interesting 0 Brilliant 0 Confused

Doubt: How can a number L L exist between two same quantities? Is there a typing mistake?

Nihar Mahajan - 5 years, 3 months ago

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Its a typing mistake. I am correcting it .thnx

Yash Dev Lamba - 5 years, 3 months ago

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By sandwich theorem , you meant squeeze theorem?

Nihar Mahajan - 5 years, 3 months ago

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@Nihar Mahajan – yes I mean the same

Yash Dev Lamba - 5 years, 3 months ago

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