SOLUTION
A function is said to have a limit if as as x approaches a particular value a, f(x) approaches a value on the y- coordinate.
From the graph given,
[tex]\begin{gathered} x\rightarrow-\infty \\ f(x)\rightarrow-2 \end{gathered}[/tex]
Consider the image below.
From the image above, we can see that as x- approaches -∞, the graph is tending towards the red line which is assume to be -2.
Hence
[tex]\lim _{x\rightarrow-\infty}f(x)=-2[/tex]
Therefore
Answer: -2 (Forth option)
