Consider the function `f(x)= sin x`. We are interested in `lim_(x->pi/2) sin x`,where the angle is measured in radians.

Consider the function f(x)=sin x. We are interested in lim_(x rarr(pi)/(2))sin x, where the angle is measured in radians.

lim_(x=(pi)/(2))(sin x)^(tan x)

Statement 1 lim_(xtopi//2)(sin(cot^(2)x))/((pi-2x)^(2))=1/2 Statement 2: lim_(theta to 0)(sin theta)/(theta)=1 and lim_(theta to 0)(tan theta)/(theta)=1 , where theta is measured in radians.

Consider the function f(x)=((ax+1)/(bx+2))^(x) , where a,bgt0 , the lim_(xtooo)f(x) is

Let us consider a function f(x)=sin[x] where [x] denotes the greatest integer function.Then

Consider the function f(x)=(sin 2x)^(tan^(2)2x), x in (pi)/(4) . The value of f((pi)/(4)) such that f is continuous at x=(pi)/(4) is

lim_ (x rarr (pi) / (2)) {(1-sin x) tan x}

Verify Rolles theorem for function f(x)=2sin x+sin2x on [0,pi]