## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

As we can see from the attached graph, as $x$ gets closer and closer to $1$ from the left, the value of the function (the $y$-value) gets closer and closer to $3$. But, as we can see, as $x$ gets closer and closer to $1$ from the right, the value of the function (the $y$-value) gets closer and closer to $2$. Thus the limits from the two sides differ and the overall limit does not exist.