Question

Decide from the graph whether a limit exists. If a limit exists, find it's value.lim F(x)x--- -5

Answer 1

While the graph has a discontinuity at the point x= -5, its limit as x approaches -5 certainly exists.

To find the value of the limit when x approaches -5, we read the graph for the corresponding value on the vertical axis when x = -5.

This is equivalent to +5 (the value on the vertical axis that corresponds to x = -5).

`\begin{gathered} Therefore,limit\colon\text{ }\lim _(x\to-5)F(x),\text{ exi}sts \\ \end{gathered}`

and, from the graph, the limit of F(x) as x approaches -5 is +5