Evaluate `lim_(x rarr0)x^x`

Evaluate lim_(x rarr 0) (x^10 - 1024)/(x - 2)

Evaluate lim_(x rarr 0) x sec x

Evaluate lim_(x rarr 0) (ax + x cos x)/(b sin x)

Evaluate: lim_(x rarr 0) x/(sqrt(a+x)-sqrt(a-x))

Given that lim_(x rarr 0) (a^x - 1)/x = log a and lim_(x rarr 0) (tan x)/x = 1 Evaluate lim_(x rarr 0) (2^x - 1)/x

Given that lim_(x rarr 0) (a^x - 1)/x = log a and lim_(x rarr 0) (tan x)/x = 1 Evaluate lim_(x rarr 0) (5^x - 1)/x