" If "f(x)=((4^(x)-1)^(3))/(sin(x)/(4)log(1+(x^(2))/(3)))" .Determine "f(0)" so that "f(x)" is continuous at "x=0

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

Let f(x) = ((e^(x) -1)^(2))/(sin((x)/(a))log(1+(x)/(4))) for x ne 0 and f(0) = 12. If f is continuous at x = 0, then find a

If f(x)={{:(((5^(x)-1)^(3))/(sin((x)/(a))log(1+(x^(2))/(3)))",",x ne0),(9(log_(e)5)^(3)",",x=0):} is continuous at x=0 , then value of 'a' equals

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=

Find the value of p for which the fucntion f(x) = ((4^(x) -1)^(3))/(sin ((x)/(p)) log_(e)(1 + (x^(2))/(3))), x ne 0 " and " f(0) = 12 (log4)^(3) , is continuous at x = 0 .

If f(x)=((4^(x)-1)^(3))/(sin((x)/(p))log(1+(x^(2))/(3))) is cont. at x=0 and f(0)=(6log2)^(3) then p=

The value of f(0) so that f(x) = ((4^(x)-1)^(3))/(sin(x/4)log(1+(x^(2))/3)) , x != 0 , is continuous everywhere in R, is

f(x)=((4^(x)-1)^(3))/(sin((x)/(p))log(1+(x^(2))/(3))) is continuous at x=0 and f(0)=12(ln4)^(3) then p=