# Infinite limits - vertical asymptotes

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##### Intros

##### Examples

###### Lessons

**Determine Infinite Limits Graphically**

For the function $f$ whose graph is shown, state the following:- $\lim_{x \to - {4^ - }} \;f\left( x \right)$

$\lim_{x \to - {4^ + }} \;f\left( x \right)$

$\lim_{x \to - 4} \;f\left( x \right)$ - $\lim_{x \to {1^ - }} \;f\left( x \right)$

$\lim_{x \to {1^ + }} \;f\left( x \right)$

$\lim_{x \to 1} \;f\left( x \right)$ - $\lim_{x \to {3^ - }} \;f\left( x \right)$

$\lim_{x \to {3^ + }} \;f\left( x \right)$

$\lim_{x \to 3} \;f\left( x \right)$ - $\lim_{x \to {5^ - }} \;f\left( x \right)$

$\lim_{x \to {5^ + }} \;f\left( x \right)$

$\lim_{x \to 5} \;f\left( x \right)$

- $\lim_{x \to - {4^ - }} \;f\left( x \right)$
**Evaluate Infinite Limits Algebraically**

Find:**Evaluate Limits Algebraically**

Find:

$\lim_{x \to {2^ - }} \;\frac{{5x}}{{x - 2}}$

$\lim_{x \to {2^ + }} \;\frac{{5x}}{{x - 2}}$

$\lim_{x \to 2} \;\frac{{5x}}{{x - 2}}$**Determine Infinite Limits of Log Functions**

Determine:

$\lim_{x \to {0^ + }} \ln x$