For what value of `k` is the function `f(x) = { k|x|/x, x<0; 3, x>=0 ` continuous at x = 0 ?

For what value of k is the function f(x)={k(|x|)/(x),x =0 continuous at x=0?

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

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

Determine the value of the constant k, so that the function f(x)={(kx)/(|x|), if x =0 is continuous at x=0

For what value of k is the function f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,\ \ \ \ \ k ,\ \ \ if\ x=0 continuous at x=0 ?

For what value of k is the function f(x)={(sin5x)/(3x),\ \ \ if\ x!=0,\ \ \ \ \ k ,\ \ \ if\ x=0 continuous at x=0 ?

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos 4x)/(x^2)),(k):}, ((x ne 0),(x =0))

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos 4x)/(8x^2)),(k):}, ((x ne 0),(x =0))

For what value of k, function f (x) is continuous at x = 0 where f(x) ={((1-cos x)/(x^2)),(k):}, ((x ne 0),(x =0))