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

Let f(x)= lim_(n->oo)(sinx)^(2n)

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->oo)(log(2+x)-x^(2n)sinx)/(1+x^(2n)) . then

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

If f(x) = lim_(nrarr infty)(sinx)^(2n) where n in l^+ then f(x) is

Consider f(x) = lim_(x-oo)(x^n-sinx^n)/(x^n+sinx^n) for x>0,x!=1,f(1)=0 then

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