Discuss the continuity of `f(x)=(lim)_(n->oo)(x^(2n)-1)/(x^(2n)+1)`

Discuss the continuity of f(x)=("lim")_(n->oo)cos^(2n)xdot

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

lim_(n->oo)sin(x/2^n)/(x/2^n)

Discuss the continuity of f(x)in[0,2],w h e r ef(x)=(lim)_(n->oo)(sin (pix/2))^(2n)

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

The function y= f(x) = lim_(n to oo) (x^(2n)-1)/(x^(2n)+1) . Is this function same as the function g(x) = "sgn"(|x|)-1) .

lim_(x->oo)(1-x+x.e^(1/n))^n

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 .

Let f(x)=lim_(ntooo) (x)/(x^(2n)+1). Then f has

sum_(n=1)^(oo)(1)/(2n-1)*x^(2n)=