Find the value of :
`underset(x to 0) lim (1+3x)^(1/x)`

Find the value of : underset(x to 0) lim (1+kx)^(k/x)

Find the value of : underset(x to 0) lim (1-2x)^(2/x)

Find the value of : underset(x to 0) lim [1+3x]^((x+3)/x)

Evaluate : underset( x to 0 ) lim (x) ^((1)/(log x))

Find the limits: (a) underset(x to 0)lim (1-cos x)/(x^2) (b) underset(x to 0)lim (tanx-sinx)/(x^(3)) (c ) underset(x to 1)lim ""(cos (pix//2))/(1-x)

Value of underset(x to 0)lim (a^(sin x)-1)/(sin x) is

Evaluate underset(x to 0)lim (cosec x - 1/x) .