solve `lim_(x->0) sin(1/x)`

lim_(x->0) (sin x /x)

lim_(x->oo)sin(1/x)/(1/x)

lim_(x->0)(sin5x)/(tan3x)

Solve lim_(xto0)["sin"(|x|)/x] , where e[.] denotes greatest integer function.

Evalute [lim_(xto0) (sin^(-1)x)/(x)]=1 , where [*] represets the greatest interger function.

lim_(x->0)(tan8x)/(sin2x)

Which of the following limits does not exist ?(a) lim_(x->oo) cosec^(-1) (x/(x+7) (B) lim_(x->1) sec^(-1) (sin^(-1)x) (C) lim_(x->0^+) x^(1/x) (D) lim_(x->0) (tan(pi/8+x))^(cotx)

Evaluate: lim_(x->0)(1/(x^2)-1/(sin^2x))

If f(x)=x sin(1/x), x!=0 then (lim)_(x->0)f(x)=

Evaluate the following limits : Lim _(x to 0 ) x sin (1/x)