Let `lim_(xto1)(x^(a)-ax+a-1)/((x-1)^(2))=f(a)`. The value of `f(101)` equals

Let lim_(xto1) (x^(a)-ax+a-1)/((x-1)^(2))=f(a) . Then the value of f(4) is_________.

Let lim_(xto1) (x^(a)-ax+a-1)/((x-1)^(2))=f(a) . Then the value of f(4) is_________.

Let lim_(x rarr1)(x^(a)-ax+a-1)/((x-1)^(2))=f(a). Then the value of f(4) is

If lim_(xto1) (1+ax+bx^(2))^((e)/((x-1)))=e^(3) , then the value of bc is _________.

If lim_(xto1) (1+ax+bx^(2))^((c)/((x-1)))=e^(3) , then find the value of bc is _________.

Let f:RrarrR be a continuous odd function, which vanishes exactly at one point and f(1)=1/2. Suppose that F(x)=int_-1^xf(t)dt for all x in[-1,2] . If lim_(xto1)(F(x))/(G(x))=1/14 , then the value of f(1/2) is

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

If lim_(xto0) (f(x))/(sin^(2)x)=8,lim_(xto0) (g(x))/(2cosx-xe^(x)+x^(3)+x-2)=lamda" and " lim_(xto0) (1+2f(x))^((1)/(g(x)))=(1)/(e)," then" The value of lamda is

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 _________.