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(lim)(n to oo)n/(2^n)int0^2x^n dx equals...

`(lim)_(n to oo)n/(2^n)int_0^2x^n dx` equals___

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The correct Answer is:
2

`lim_(n to oo) n/(2^(n)) . (x^(n+1))/(n+1)]_(0)^(2)=lim_(n to oo) n/(2^(n)) . (2^(n+1))/(n+1)=lim_(n to 0)2/(1+(1//n)=2`
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