Let [x] denote the greatest integer less than or equal to x and g (x) be given by`g(x)
Channel: Doubtnut
Date: 2020-05-17

Let [x] denote the greatest integer less than or equal to x and g (x) be given by`g(x)={{:(,[f(x)],x in (0","pi//2) uu (pi//2","pi)),(,3,x=(pi)/(2)):}`  `"where", f(x)=(2(sin x-sin^(n)x)+|sinx-sin^(n)x|)/(2(sinx-sin^(n)x)-|sinx-sin^(n)x|),n in R^(+)` then at `x=(pi)/(2),g(x)`, is