Let
f(x)={(3-x,x<2),(2,x=2),((x)/(2),x>2):}
a. Find
\lim_(x->2^(+))f(x),\lim_(x->2^(-))f(x)
, and
f(2)
. b. Does
\lim_(x->2)f(x)
exist? If so, what is it? If not, why not c. Find
\lim_(x->-1^(-))f(x)
and
\lim_(x->-1^(+))f(x)
. d. Does
\lim_(x->-1)f(x)
exist? If so, what is it? If not, why not