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

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

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

lim_(n->oo)2^(n-1)sin(a/2^n)

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

Find the number of integers lying in the interval (0,4) where the function f(x)=(lim)_(n->oo)(cos( pix/2))^(2n) is discontinuous

Discuss the continuity of the function f(x) = underset(n rarr oo)(lim) (log (2 + x)-x^(2n) sin x)/(1+x^(2n))"at x" = 1

Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0x+2,ifxgeq0

Discuss the continuity of the function f(x)={(sin2x)/x ,ifx<0,x+2,ifxgeq0

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 .