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Section 2.5 : Computing Limits

2. Evaluate \(\displaystyle \mathop {\lim }\limits_{t \to \, - 3} \frac{{6 + 4t}}{{{t^2} + 1}}\), if it exists.

Show Solution

There is not really a lot to this problem. Simply recall the basic ideas for computing limits that we looked at in this section. We know that the first thing that we should try to do is simply plug in the value and see if we can compute the limit.

\[\mathop {\lim }\limits_{t \to - 3} \frac{{6 + 4t}}{{{t^2} + 1}} = \frac{{ - 6}}{{10}} = \require{bbox} \bbox[2pt,border:1px solid black]{{ - \frac{3}{5}}}\]