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)`

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

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

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

Let f(x)=(lim)_(n->oo)(2x^(2n)sin1/x+x)/(1+x^(2n))\ then find :\ (lim)_(x->-oo)f(x)

Let f(x)=lim_(n->oo)(2x^(2n)sin(1/x)+x)/(1+x^(2n)) then find (a) lim_(x->oo) xf(x) (b) lim_(x->1) f(x) (c) lim_(x->0) f(x) (d) lim_(x->-oo) f(x)

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

f(x)=lim_(n rarr oo)(cos pi x-x^(2n)sin(x-1))/(1+x^(2n+1)-x^(2n)), find lim_(x rarr1)f(x)

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

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)

lim_(x rarr oo) (1+f(x))^(1/f(x))