`lim_(n->oo)1/(1+nsin^2x)`, then find `f((pi)/4)` and also comment on the continuity at `x=0`

lim_(n->oo) nsin(1/n)

f(x)=(lim)_(n->oo)(sin(pix/2))^(2n) for x >0,x!=1 ,and f(1)=0. Discuss the continuity at x=1.

f(x)=(lim)_(n->oo)(sin(pix/2))^(2n) for x >0,x!=1 ,and f(1)=0. Discuss the continuity at x=1.

If f(x)=lim_(n rarr oo)(1+x)^(n) comment on the continuity of f(x)atx=0 and explain lim_(x rarr0)(1+x)^((1)/(x))=e

("lim")_(xtooo)1/(1+nsin^2n x)is equal (a)-1 (b) 0 (c) 1 (d) oo

("lim")_(ntooo)1/(1+nsin^2n x) is equal to (a) -1 (b) 0 (c) 1 (d) oo

Letf(x) = lim_( n to oo) (x^(n)-sin x^(n))/(x^(n)+sin x^(n)) " for" xgt 0, x ne 1,and f(1)=0 Discuss the continuity at x=1.

("lim")_(xvecoo)1/(1+nsin^2n x) i s equal to (a) -1 (b) 0 (c) 1 (d) oo

Discuss continuity of function f(x)=1+ lim_(n to oo) cos^(2n) x. Draw the graph of the function and find the period of the function .

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1),x in R, the the the points where f(x) is not continuous are