# Graphical Limits

###### This wiki is incomplete.

**Graphical limits** are limits taken from a graph. They are helpful for functions with a point discontinuity.
The need for defining limits of a function and the procedure to be carried out while determining the limit of a function can be easily understood by graphing a function.
If you cannot determine the limit of a function algebraically, the graphical method is a good alternative.

Evaluate $\displaystyle \lim_{x\to7}{\frac{x^2 - 49}{x - 7}}$.

Graph $\frac{x^2 - 49}{x - 7}$.

At $x = 7$ the graph shows the $y$-value as 14, even though there is a hole in the graph.

Therefore, $\lim_{x\to7}{\frac{x^2 - 49}{x - 7}} = 14$. $_\square$

**Cite as:**Graphical Limits.

*Brilliant.org*. Retrieved from https://brilliant.org/wiki/graphical-limits/