Q:let fn(x)=n(sinx)^(2n+1)*cos(x)

then find the value of

{ limt n tends to inf of integral of fn(x) from 0 to pi/2}

-{integral of limit n tends to inf of fn(x) from 0 to pi/2}

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- Apr 23rd 2009, 08:28 AMMathventurelimit problem...
Q:let fn(x)=n(sinx)^(2n+1)*cos(x)

then find the value of

{ limt n tends to inf of integral of fn(x) from 0 to pi/2}

-{integral of limit n tends to inf of fn(x) from 0 to pi/2}

- May 27th 2009, 06:48 AMMedia_ManFatou's Lemma
Define

Find

Integrating by simple substitution

So

But , so your answer is zero.