Limits from Graphs

For the function $g(x)$ graphed here, find the following limits or explain why they do not exist.

a$.\underset{x1}{lim}g(x)$

b$.\underset{x2}{lim}g(x)$

c$.\underset{x3}{lim}g(x)$

d$.\underset{x2\mathrm{.}5}{lim}g(x)$

For the function $f(t)$ graphed here, find the following limits or explain why they do not exist.

a$.\underset{t-2}{lim}f(t)$

b$.\underset{t-1}{lim}f(t)$

c$.\underset{t0}{lim}f(t)$

d$.\underset{t-0\mathrm{.}5}{lim}f(t)$

Which of the following statements about the function $y=f(x)$ graphed here are true, and which are false?

a$.\underset{x0}{lim}f(x)$ exists.

b$.\underset{x0}{lim}f(x)=0$

c$.\underset{x0}{lim}f(x)=1$

d$.\underset{x1}{lim}f(x)=1$

e$.\underset{x1}{lim}f(x)=0$

f$.\underset{xc}{lim}f(x)$ exists at every point $c$ in $(-1,1).$

g$.\underset{x1}{lim}f(x)$ does not exist.

h$.f(0)=0$

i$.f(0)=1$

j$.f(1)=0$

k$.f(1)=-1$