For what value of `mu` is the function `f(x)= mu(x^2-2x) , x<= 0` and `f(x)=4x+1 , 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?

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 m for f(x)={:{ (m(x^(2)-2x+2) ,x = 0) :} to be continuous at x=0 is

For what value of lambda is the function f(x)={lambda(x^(2)-2x)quad ,quad if x 0 continuous at x=0? What about the continuity at x=+-1?

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

Prove that the function f(x) =2x-|x| is continuous at x=0.

Number of values of k so that the function f(x)={[4(2x-x^(2)), when x =0] is continuous at x=0, is