Determine the value of ‘k’ for which the following function is continuous at `x = 3, f(x) ={ ((x+3)^2-36)/(x-3), x !=3; k, x =3`

Determine the value of k for which the following function is continuous at x=3. f(x)={(x^2-9)/(x-3),\ \ \ x!=3 ,\ \ \f(x)=k, x=3

Determine the value of k for which the following function is continuous at x=3. f(x)={(x^2-9)/(x-3) , x!=3 and k when x=3

Determine the value of k for which the following function is continuous at x=3.f(x)={(x^(2)-9)/(x-3),quad x!=3k,quad x=3

Determine the value of k for which the following function is continuous at x=3.f(x)={(x^(2)-9)/(x-3),x!=3 and k when x=3

Determine, k if the following function is continuous at x = 0 f(x) = {{:((sin 3x)/(4x), x != 0),(k,x = 0):}

Determine value of k so that the following function f(x) is continuous at x = 0. f(x) ={((sin 5x)/(3x)),(k):}, ((x ne 0),(x =0))

Determine the value of k so that following functions are continuous at x = 0 f(x) = {{:((sin 2x)/(x)"," ,"if " x != 0),(k",","if " x = 0):}

(a) Determine the value of k so that the following function f(x) is continous at x=0 f(x)={((sin2x)/(x)" , if "xne0),(k" , if "x=0):} (b) Determine k, if the following function is continuous at x=0: f(x)={((sin3x)/(4x)" , "xne0),(k" , "x=0):} (c) Determine k so that the following function f(x) is continuous at x=0 f(x)={((sin5x)/(3x)" , "xne0),(k" , "x=0):}

What is the value of k for which the following function f(x) is continuous for all x? f(x)={{:((x^(3)-3x+2)/((x-1)^(2)),"for "xne1),(k,"for "x=1):}