1. ## Limits Help

I am given the following graphs:

The graphs of and are given above. Use them to evaluate each quantity below. Write 'DNE' if the limit or value does not exist (or if it's infinity).

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I have no idea on how to solve these. The graphs have me dumbfounded. Any help would be much appreciated.

2. On the graphs it seems that
$\displaystyle\lim_{x\nearrow 0}f(x)=\lim_{x\searrow 0}=0$
$\displaystyle\lim_{x\nearrow 1}f(x)=0, \ \lim_{x\searrow 1}f(x)=2$
$\displaystyle\lim_{x\nearrow 0}g(x)=1, \ \lim_{x\searrow 0}g(x)=3$
$\displaystyle\lim_{x\nearrow 1}g(x)=\lim_{x\searrow 1}g(x)=2$

Now, use $\lim [f(x)+g(x)]=\lim f(x)+\lim g(x)$
and $\lim[f(x)g(x)]=\lim f(x)\cdot\lim g(x)$

3. Thanks a lot. You deciphered that graph. After reading what you wrote, it made much more sense. Thanks again.