Find the values of `a` if `f(x)=("lim")_(n rarr oo)(a x^(2n)+2)/(x^(2n)+a+1)` is continuous at `x=1.`

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

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

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

If f(x)=lim_(n rarr oo)(x^(2n)-1)/(x^(2n)+1) then range of f(x) is

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

Let f(x)=lim_(n to oo) sinx/(1+(2 sin x)^(2n)) then f is discontinuous at

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

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

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

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