
One sided limit
Hello i still have a problem about graphing absolute values:
Sketch the graph of the function and find the indicated limit if it exists; if the limit does not exist, state the reason:
$\displaystyle G(x) = 2x  3  4$
find:
$\displaystyle a.) \lim_{x \to {\frac{3}{2}}^+}$
$\displaystyle b.) \lim_{x \to {\frac{3}{2}}^}$
$\displaystyle c.) \lim_{x \to {\frac{3}{2}}}$< does it exist?
Thanks and
Happy holidays!

The limit exists
The limit exists because a = 4 and b = 4 are the same
nevmind
my problem is only the graphing the absolute value

First look at where the absolute value portion of the function is 0:
$\displaystyle 2x  3 = 0$
$\displaystyle x = \frac{3}{2}$
Now split the function into two pieces:
$\displaystyle G(x) = \left \{ \begin{array}{cc} (2x3)4 & x < \frac{3}{2} \\ (2x3)  4 & x \geq \frac{3}{2} \end{array} \right . $
Dan