If the function `f(x)` defined as `f(x)` defined as `f(x)={3,x=0(1+(a x+b x^3)/(x^2))^(1/x),x >0` is continuous at `x=0,` then `a=0` b. `b=e^3` c. `a=1` d. `b=(log)_e3`

If the function f(x) defined by f(x)=(log(1+3x)-log(1-2x))/(x),x!=0 and k

If the function f defined as f(x)=(1)/(x)-(k-1)/(e^(2x)-1),x!=0, is continuous at x=0, then the ordered pair (k,f(0)) is equal to:

If the function defined by f(x) = {((sin3x)/(2x),; x!=0), (k+1,;x=0):} is continuous at x = 0, then k is

If the function f(x), defined as f(x)={{:((a(1-xsinx)+b cosx+5)/(x^(2)),":", xne0),(3,":",x=0):} is continuous at x=0 , then the value of (b^(4)+a)/(5+a) is equal to

The function f:(-oo, 1] rarr (0, e^(5)] defined as f(x)=e^(x^(3)+2) is

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

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

Let f: R to R be a function defined as f(x)={(,(sin (a+1)x+sin 2x)/(2x), if x lt 0),(, b, if x=0), (,(sqrt(x+bx^(3))-sqrtx)/(bx^(5/2)), if x gt 0):} If f is continuous at x=0 then the value of a+b is equal to :