Discuss the continuity of f(x), where `f(x) = underset(n rarr oo)(lim)("sin"(pi x)/(2))^(2n)`

Discuss the continuity of f(x), where f(x) = lim_(n rarr oo) ("sin"(pi x)/(2))^(2n)

Discuss the continuity of f(x) in [0, 2], where f(x)=(lim)_(n->oo)(sin(pix)/2)^(2n)dot

Discuss the continuity of f(x)=|sin x+cos x| at x=pi

Discuss the continuity of f(x)=lim_(n rarr oo)cos^(2n)x

Discuss the continuity of f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n+1))

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

Discus the continuity of the function f(x)=lim_(n rarr oo)((1+sin x)^(n)+In x)/(2+(1+sin x)^(n))

Let f(x)=lim_(n rarr oo)(sin x)^(2n)

Prove that underset( n rarr oo)lim x_(n)=1, if x_(n)=(3^(n)+1)/3^(n) .

Let f(x)=lim_(n rarr oo)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then