Let
f(s)={(s^(2)-c if sin(-\infty ,4)),(cs+2 if sin[4,\infty )):}
For what value of the constant
c
is the function
f
continuous on
(-\infty ,\infty )?
c=
Hint: Compute
\lim_(s->4^(+))f(s)
and
\lim_(s->4^(-))f(s)
.