1. lim (5/(2-x))

x->2^+

(coming from the right)'

My work:

5/(2-2) = 5/0

lim (5/(2-x)) = -infinite because...?

x->2^+

I know it equals negative infinite, but don't know how to show the work. I did a graph in my head...

2. What values of k is the function f(x) continuous on (-infinite, infinite)?

f(x) =

x+k^2, x<2

kx^2 + 14, x=>2

My work:

x + k^2 = ck^2 + 14

x + k^2 - ck^2 - 14 = 0.

Can somebody clear up these questions?