If the function `f(x) ={:{((3x^3-2x^2-1)/(x-1)", "x ne 1),(" "K", " x= 1):},`
is continuous at x=1,find the value of k.

If the function f(x)={{:((x^(2)-1)/(x-1), "When ", x ne1),(k, "When" , x=1):} is given to be continuous at x=1, then the value of k is ____.

If the function f(x)={{:((x^(2)-1)/(x-1), "When ", x ne1),(k, "When" , x=1):} is given to be continuous at x=1, then the value of k is ____.

If the function f(x)={{:((x^(2)-1)/(x-1), "When ", x ne1),(k, "When" , x=1):} is given to be continuous at x=1 , then the value of k is ____.

If f(x) = {((x^6-1/64)/(x^3-1/8),",",x != 1/2),(k,",",x = 1/2):} is continuous at x = 1/2 , then the value of k is

The value of the constant k so that the function f(x)={((x^(2)-3x+2)/(x-1),",","if "xne1),(k,",","if "x=1):} is continuous at x = 1 is

If function defined by f(x) = {{:((sin 3x)/(2x)"," ,x != 0),(k + 1",", x = 0):} is continuous at x = 0 , then value of k is

If f(x) = {((x^6=1/64)/(x^3-1/8),",",x != 1/2),(k,",",x = 1/2):} is continuous at x = 1/2 , then the value of k is