Find the value of `f(0)` so that the function. `f(x)=(sqrt(1+x)-1+x3)/xb e com e scon t inuou sa tx=0`

Let f(x)={(log(1+x)^(1+x)-x)/(x^2)}dot Then find the value of f(0) so that the function f is continuous at x=0.

Find the points of discontinuity of the function: f(x)=1/(1-e^((x-1)/(x-2)))

Find the value of x where f(x)={x ,ifxi sr a t ion a l1-x ,ifxi si r r a t ion a li scon t inuou sdot

Find the value of alpha so that lim_(x->0)1/(x^2)(e^(alphax)-e^x-x)=3/2

If int(x^2-x+1)/((x^2+1)^(3/2))e^x dx=e^xf(x)+c ,t h e n f(x) is an even function f(x) is a bounded function the range of f(x) is (0,1) f(x) has two points of extrema

Find the range of f(X) = tan^(-1)x-(1)/(2)log_(e)x in (1)/(sqrt(3)),(sqrt(3))

Find the values of a if f(x)=2e^x-a e^(-x)+(2a+1)x-3 is increasing for all values of xdot

If the function f: Rsetminus {0}vec given by f(x)=1/x-2/(e^(2x)-1) is continuous at x=0, then find the value of f(0)