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

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

f(x)=lim_(n rarr oo)sin^(2n)(pi x)+[x+(1)/(2)], where [.] denotes the greatest integer function,is

The function f(x) .defined as f(x)=lim_(n rarr oo)(f(x)+x^(2n)g(x))/(1+x^(2n)) shall be continuous every where,if

The points of discontinuity of the function f(x)=lim_(x rarr pi)((sin x)^(2n),n in I are

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

Let f(x)=lim_(n rarr oo)(2x^(2n)sin\ 1/x+x)/(1+x^(2n)) then find (a) lim_(x rarr oo) x f(x) (b) lim_(x rarr 1) f(x)

f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)), find lim_(x rarr0)f(x)

If f(x)=lim_(n rarr oo)(tan pi x^(2)+(x+1)^(n)sin x)/(x^(2)+(x+1)^(n)) then

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

let f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1)