Evaluate `underset (xrarr0)lim(xsecx)` ?

underset (xrarr0)lim x^(x)

Prove that underset(xrarr0)lim(sinx)/x=1 , where x measured in radians , Also evaluate underset(xrarr0)lim(sin4x)/x ?

Evaluate: underset(xrarr0)lim xlog x

Evaluate: underset (xrarr0) lim (cot x) ^(sin x)

Evaluate: underset(xrarr0)lim(cosecx-cotx) .

Evaluate underset(xrarr0)lim (e^x-sinx-1)/x

Evaluate : underset(xrarr0)"lim"(cosec"x-cotx)/(x)

Evaluate: underset(xrarr0)lim (x(e^x-1))/(1-cosx)

Evaluate : underset(xrarr0)"lim"(1)/(x) .