For what value of k, the function
`f(x) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):},`
is continuous at x =2.

For what value of k, the function f(x) ={:{(2x+1", "x gt2),(" "k ", " x=2),(3x-1 ", "x lt2):}, is continuous at x=2.

For what value of k, the function f(x)={((x)/(|x|+2x^(2))",", x ne 0),(k",", x=0):} is continuous at x = 0 ?

If f(x) = {((x^(5)-32)/(x-2), x ne 2),(k, x =2):} is continuous at x = 2, then k =

Find the value of 'k', such that the function : f(x) = {:{(2x^(x+2)-16)/(4^x -16), if x ne2),(k, if x =2):} is continuous at x =2

find the value of k, so that the function f(x)={((2^(x+2)-16)/(4^(x)-16)", if "x!=2),(k", if "x=2):} is continuous at x=2.

For what value of k, the function f(x)={((tan2x)/(x)", if "x!=0),(k", if "x=0):} is continuous at x=0 ?

For what value of k, the function f(x)={{:((sin2x)/(x)", "x!=0),(k", "x=0):} is continuous at x=0 ?

For what value of k, function f(x)={((k cosx)/(pi-2x)",","if "x ne (pi)/(2)),(3",", "if " x =(pi)/(2)):} is continuous at x=(pi)/(2) then k?

Find the value of k so that the function f(x) = {((2^(x+2) - 16)/(4^(x) - 16),"if",x ne 2),(" k","if",x = 2):} is continuous at x = 2.