`underset(x to1)lim((1+x)/(2+x))^((1-sqrt(x))/(1-x))`

Find the limits : underset(x to oo)lim ((1+x)/(2+x))^((1-sqrtx)//(1-x)) (b) underset(x to oo)lim ((x^(2)+2x-1)/(2x^(2)-3x-2))^((2x+1)//(x-1))

Evaluate underset(xto1)"lim"(x^(4)-sqrt(x))/(sqrt(x)-1) .

The value of underset(x to 0)lim (sqrt(1+x^(2))-sqrt(1-x^(2)))/(x^(2)) is

underset(x to0)lim(pi^(x)-1)/(sqrt(1+x)-1)

underset (xto0) lim(sqrt(1-x^2)-sqrt(1+x^2))/x^2

Show that, underset(x to 0) lim ((x-1+cosx)/(x))^(1/x)=(1)/(sqrt(e ))

The value of underset(x to 2)lim (sqrt(1+sqrt(2+x))-sqrt3)/(x-2) is

The value of underset(x to 2)lim (sqrt(1+sqrt(2+x))-sqrt3)/(x-2) is