Evaluate `lim_(xto0)(int_(0)^(x)cost^(2)dt)/(x)`

Evaluate lim_(xrarr0)(sin5x)/(sin3x)

Let f : R to R be a differentiable function and f (1) = 4. Then the value of lim_( x to 1) int _(4) ^(f (x)) (2t)/(x -1) dt, if f '(1)= 2 is :

Evaluate lim_(x rarr 0) (tan x)/x

Evalute lim_(xrarr0)(sin^2 3x)/(x^2)

Evaluate lim_(x rarr 0) (sin ax)/bx