Chapter $2$: Limits and Continuity

Second Level

Calculus $-$ MATH $109$

Instructions and Questions

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

a$.)\underset{t-2}{lim}f(t)=0$

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

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

d$.)\underset{t-0\mathrm{.}5}{lim}f(t)=-1$

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

d$.)\underset{x1}{lim}f(x)=$ does not exist $T$

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

f$.)f(0)=0,$

g$.)f(0)=1$

h$.)f(1)=-1$

i$.)f(1)=0T$

Suppose $\underset{xc}{lim}f(x)=5$ and $\underset{xc}{lim}g(x)=-2.$ Find

a$.)\underset{xc}{lim}f(x)g(x)=-2*5=-10$