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

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) ={:{((x^2-4)/(x-2)", " x ne 2),(" "k", " x=2):}, is continuous at x =2.

If f(x)={{:((sqrt(x^(2)+5)-3)/(x+2)",",x ne-2),(k,","x=-2):} is continuous at x=-2 , then the value of k is

If f(x)={{:((1-tanx)/(4x-pi)",",x ne(pi)/(4)),(k ",",x=(pi)/(4)):} is continuous at x=(pi)/(4) then the value of k is

If f(x)={{:(x^(2)"sin"(1)/(x)",",x ne0),(k",",x=0):}

Find the value of k for which the function. f (x) = {{:(((sin x +xcos x))/( x ) , " when " x ne 0 ),( k, " when" x=0 ):} " is continuous at "x=0

If f(x) = {{:((log(1+2ax)-log(1-bx))/(x)",",x ne 0),(" "k",",x = 0):} is continuous at x = 0, then k is equal to

Show that the function f(x) given by f(x)={((e^(1/x)-1)/(e^(1/x)+1), when x!=0), (0, when x=0):} is discontinuous at x=0 .

Find the value of k for which the function f(x)= {((2x+3 sin x)/(3x+2sin x),"when " x ne 0),(4k,"when" x= 0):} is continuous at x= 0