f(x)=lim_(x rarr oo)(log(2+x)-x^(2))/(1+x^(2))sin2x" then "

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

lim_(x rarr oo)((log x)/(x))^(1/x)

lim_(x rarr oo)(2+sin x)/(x^(2)+3)

lim_(x rarr oo)x(log(x+1)-log x)=

lim_(x rarr0)(log(1-(x)/(2)))/(x)

L=lim_(x rarr oo)((log x)/(x))^((1)/(x))

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

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

lim_(x rarr0)(log(1+x^(2)))/(sin^(2)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)