`lim_(x->0)(4^x-1)/(sin2x)`

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

Evaluate (i) (lim)_(x->0)(sin4x)/(sin2x) (ii) (lim)_(x->0)(tanx)/x

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

The value of lim_(xrarr0)((4^x-1)^3)/(sin.(x^2)/(4)log(1+3x)) ,is

the value of lim_(x->0){(cosx)^(1/(sin^2x))+(sin2x+2tan^-13x+3x^2)/(ln(1+3x+sin^2x)+xe^x)}

Evaluate: lim_(x to 0)(cotx)^(sin2x)

lim_(x->0) (2+2x+sin2x)/((2x+sin2x)e^sinx) is

lim_(x->0)((1-cos2x)sin5x)/(x^2sin3x)

Find the limits of the following: (i)lim_(xto0) (sin3x)/(x)" "(ii)lim_(xto0) (sin7x)/(sin4x)" "(iii)lim_(xto0) (1-cos^(2)x)/(x^(2))

If A=lim_(x to 0) (sin^(-1)(sinx))/(cos^(-1)(cosx))and B=lim_(x to 0)([|x|])/(x), then