`lim_(x rarr0)e^(x)cos x`

lim_(x rarr0)x(cosec x)

lim_(x rarr0)|x|^|cos x|

lim_(x rarr0)(1/x)^(1-cos x)

lim_(x rarr0)sqrt(x)=

Compute lim_(x rarr 0)(e^(3x)-sinx-1)/x

lim_(x rarr0)(1-cos 2x)/(x^(2))

Let f(x) be a function defined by f(x) = {{:((3x)/(|x|+2x),x ne 0),(0,x = 0):} Show that lim_(x rarr 0) f(x) does not exist.

lim_(n rarr0)(2-cot x)

The value of lim_(x rarr 0) (1-cos2x)/(e^(x^(2))-e^(x)+x) is

lim_(x rarr0)(x(e^(x)-1))/(1-cos x) is equal to