if `f(x)=lim_(n->oo) ((1+sinx)^n+e^x)/(1+(1+sinx)^n)` where `x in[-2pi,2pi],` If p, q denotes number of values of x where f(x) is discontinuous and non-derivable respectively then 'p+q' is equal to

if f(x)=lim_(n rarr oo)((1+sin x)^(n)+e^(x))/(1+(1+sin x)^(n)) where x in[-2 pi,2 pi], If p,q denotes number of values of x where f(x) is discontinuous and non-derivable respectively then 'p+q' is equal to

The number of points where f(x) is discontinuous in [0,2] where f(x)={[cos pi x]:x 1}

Let f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous at

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1) then range of f(x) is

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)

If f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)) then

f(x)=lim_(n rarr oo)sin^(2n)(pi x)+[x+(1)/(2)], where [.] denotes the greatest integer function,is

If f(x)=|x^(2)-3x+2|+|sinx| then number of points where f(x) is not differentiable in [-pi,pi] is