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

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 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 ?

The value of k for which the function f(x)={(sin3x)/(x), if x!=0, k if x=0 is continuous at x=0 is

Determine the value of the constant k so that the function f(x)={(sin2x)/(5x),\ \ \ if\ x!=0 \ \ \ \ ,k \ \ \ if\ x=0 is 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) = { k|x|/x, x =0 continuous at x = 0 ?