The value of `lim_(x->1/2)((f(x)+x-1)^3)/((x-1/2)` is

If f(1)=1,f^(prime)(1)=2, then write the value of lim_(x->1)(sqrt(f(x))-1)/(sqrt(x)-1)

If x=2 is a real root of cubic equation f (x) = 3x^(3)+bx^(2)+bx+3=0 . Then the value of lim_(xrarr(1)/(2)) (e^(f(x)-1)/(2x-1))

If f(x)=|(sinx, cosx, tanx),(x^(3),x^(2),x),(2x,1,1)| then the value of lim_(x to 0) (f(x))/(x^(2)) is -

Let f(x)=(1)/(sqrt(18-x^(2))) What is the value of lim_(xto3) (\f(x)-f(3))/(x-3) ?

Let f(x)=2x^(1//3)+3x^(1//2)+1. The value of lim_(hrarr0)(f(1+h)-f(1-h))/(h^(2)+2h) is equal to

If lim_(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim_(x->0)[1+(f(x))/x]^(1/x))i s____

The value of [lim_(x rarr1)(tan^(2)(x-1))/(x^(3)-x^(2)-x+1)]

If lim_(xto0) [1+x+(f(x))/(x)]^(1//x)=e^(3) , then the value of ln(lim_(xto0) [1+(f(x))/(x)]^(1//x)) is _________.