Consider the function
`f(x)={{:(tankx",",xlt0),(3x+2k^(2)",",xge0):}`
What is the non-zero value of k for which the function is continuous at x=0?

Consider the function: f(x)={{:((tankx)/(x),xlt0),(3x+2k^(2),xle0):} What is the non-zero value of k for which the function is continuous at x = 0?

Consider the function f(x)={{:((kx)/(|x|)","ifxlt0,),(3","ifxge0,):} which is continuous at x=0, then k=?

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 defined by f(x) = {:{(k(x^2+2),ifxle0),(3x+1,ifx>0):} continuous at x =0? Also write whether the function is continuous at x =1.

Discuss the continuity of the function : f(x)={{:(x",if "xge0),(x^(2)",if "xlt0):}

Let f(x)={{:(-x^(2)","," for "xlt0),(x^(2)+8",",xge0):} . Discuss the continuity of f(x) 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