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Evaluate lim(n rarr oo)(2^(k) + 4^(k) + ...

Evaluate `lim_(n rarr oo)(2^(k) + 4^(k) + 6^(k)+…+(2n)^(k))/(n^(k+1))` by using the method of finding definite integral as the limit of a sum.

Text Solution

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The correct Answer is:
`(2^(k))/(k+1)`
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