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1)

The set of points of discontinuity of the function

f(x)=limnα(2sinx)2n3n(2cosx)2n  is given by


A) R

B) nπ±π3,nϵI

C) nπ±π6,nϵI

D) None of these

Answer:

Option C

Explanation:

We have, f(x)=limnα(2sinx)2n3n(2cosx)2n

=limnα(2sinx)2n(3)2n(2cosx)2n

f(x) is discountinuous when 

(3)2n(2cosx)2n=0

i.e.   cosx=±32x=nπ±π6