`If f(x)=((2^(x)-1)^(3))/(sin((x)/(p))log(1+(x^(2))/(3)))` is continuous at x=0 and` f(0)=(6log2)^(3)`

If f(x)={{:(,((4^(x)-1)^(3))/(sin(x//4)log(1+x^(2)//3)),x ne 0),(,k,x=0):} is a continous at x=0, then k=

Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/(sinx/4log(1+(x^2)/3)) becomes continuous at x=0

Determine f(0) so that the function f(x) defined by f(x)=((4^x-1)^3)/(sinx/4log(1+(x^2)/3)) becomes continuous at x=0

f(x)=sqrt(log((3x-x^(2))/(x-1)))

The value of lim_(xrarr0)((4^x-1)^3)/(sin.(x^2)/(4)log(1+3x)) ,is

If f(x)=(sin^(- 1)x)^2*cos(1/ x)"if"x!=0;f(0)=0,f(x) is continuous at x= 0 or not ?

The value of a for which the function f(x)={(((4^x-1)^3)/(sin(x/a)log(1+x^2/3)) ,, x!=0),(12(log4)^3 ,, x=0):} may be continuous at x=0 is :

The value of a for which the function f(x)=f(x)={((4^x-1)hat3)/(sin(x a)log{(1+x^2 3)}),x!=0 12(log4)^3,x=0 may be continuous at x=0 is 1 (b) 2 (c) 3 (d) none of these

The function f(x)=((3^x-1)^2)/(sinx*ln(1+x)), x != 0, is continuous at x=0, Then the value of f(0) is

Let f(x) = (e^x x cosx-x log_e(1+x)-x)/x^2, x!=0. If f(x) is continuous at x = 0, then f(0) is equal to