a.
[tex]\displaystyle \lim_{x\to2^-}f(x) = 3[/tex]
b.
[tex]\displaystyle \lim_{x\to2^+}f(x) = 1[/tex]
c.
[tex]\displaystyle \lim_{x\to2} f(x) = \text{DNE}[/tex]
d. The filled circle tells you what the value of [tex]f[/tex] is at [tex]x=2[/tex].
[tex]f(2) = 3[/tex]
e.
[tex]\displaystyle \lim_{x\to4}f(x) = 4[/tex]
f. There is no filled circle included here, hence to value assigned to [tex]f(4)[/tex].
[tex]f(4) = \text{DNE}[/tex]
