`f(x)=(lim)_(n->oo)(t a npix^2+(x+1)^n s in x)/(x^2+(x+1)^n)` , find `(lim)_(x->0)f(x)dot`

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

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

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)

If f(x)=lim_(n->oo)((x^2+a x+1)+x^(2n)(2x^2+x+b))/(1+x^(2n))and lim_(x->+-1)f(x) exist, then The value of b is (a)-1 (b). 1 ( c.) 0 (d).2

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)

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)(log(2+x)-x^(2n)sin x)/(1+x^(2n)) then