`underset(x rarr 0)(lim) (2x)/(tan 2x)` is

The value of underset(x rarr 0)lim (sin 5x)/(tan 3x) is

f'(x) = |{:(cos x , x , 1),(2sin x,x^(2),2x),(tan x, x,1):}| . The value of underset(x rarr 0)(lim) (f(x))/(x) is equal to

Prove that underset (x rarr 0) lim (sin x)/x=1 ,where x is in radian and hence evaluate: underset(x rarr 0)lim (sin 4x)/(sin 2x) .

Evaluate: underset(x rarr 0)(lim) x^(sin x)

underset( x rarr 0 ) ( "lim")( x tan 2x - 2x ta n x )/(( 1- cos 2x)^(2)) is

Evaluate underset(x rarr 0)(lim) (tan^(-1)x)/(x)

Evaluate: underset(x rarr 0)lim ((sinx)/x)

Evaluate : underset (x rarr 0)lim (3x-tan 4x)/(x+sin x) .