Question

Number 50 use the graph to estimate the limits and value of the function or explain why the limits do not exist

Answer 1

In this case, notice that the graph of G(x) approximates to 1 when x goes to 2 from the left, and also the graph approximates to 1 when x goes to 2 from the right, thus, we have the following limits:

`\begin{gathered} \lim _(x\rightarrow2^-)G(x)=1 \\ \lim _(x\rightarrow2^+)G(x)=1 \end{gathered}`

since both limits are equal, we have that the limit of G(x) when x goest to 2 is:

`\lim _(x\rightarrow2)G(x)=1`