a) `lim_(x rarr 0)(x)^sinx`

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

(i) lim_(x rarr0)(x-sin x)/(tan^(3)x)

lim_(x rarr0)sqrt(x)=

lim_(x rarr0)(1+2x)^(5/x)

Evaluate : lim_(x rarr 0)""(sin x^(@))/(x)

Evaluate: lim_(x rarr 0) (sin (log (1 + 2x)))/(x)

1) Evaluate lim_(x rarr0)(|x|)/(x)

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

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

Let f(x) = x(-1)^([1//x]); x != 0 where [.] denotes greatest integer function, then lim_(x rarr 0) f (x) is :