1) The set of points of discontinuity of the function f(x)=limn→α(2sinx)2n3n−(2cosx)2n is given by A) R B) nπ±π3,nϵI C) nπ±π6,nϵI D) None of these Answer: Option CExplanation:We have, f(x)=limn→α(2sinx)2n3n−(2cosx)2n =limn→α(2sinx)2n(√3)2n−(2cosx)2n f(x) is discountinuous when (√3)2n−(2cosx)2n=0 i.e. cosx=±√32⇒x=nπ±π6