" 3.Evaluate "lim_(x rarr0^(+))x^(x)

lim_(x rarr0^(+))(x)^(In x)

Evaluate "lim_(x rarr0)x tan(1/x)

Evaluate "lim_(x rarr0)(x-|x|)/(x)

Evaluate "lim_(x rarr0)(8^(x)-4^(x)-2^(x)+1)/(x^(2))

Evaluate lim_(x rarr0^(-))(x^(2)-3x+2)/(x^(3)-2x^(2))

The function f(x) is defined as follows: f(x)=2-3x, when x =0 Evaluate lim_(x rarr0^(+))f(x),lim_(x rarr0^(-))f(x) and hence state whether lim_(x rarr0)f(x) exists or not.

lim_(x rarr0)(cotx)^(x)

Evaluate lim_(x rarr0)((x)/(sin x))

Evaluate lim_(x rarr0)((a^(x)-b^(x))/(x))

Evaluate: lim_(x rarr0)(10^(x)-2^(x)-5^(x)+1)/(x tan x)