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Let f(x) = lim(n->oo) (sinx^(2012)+(1...

Let `f(x) = lim_(n->oo) (sinx^(2012)+(1+x^(2011))^ntanx^(2011))/(cosx^(2012)+(1+x^(2011))^n) , n in N` then which of the following is(are) true?

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