Answer
$$\lim_{x \to 1 }f(x)=2$$
Work Step by Step
To find $\lim_{x\to 1 }f(x)$, examine the graph of $f$ near $x=1$. As $x$ gets closer to $1$, the values of $f(x)$ get closer to $2$. We conclude from the graph that$$\lim_{x \to 1 }f(x)=2.$$
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.