Evaluating Limits from a Graph
Finding limits from the graph of a piecewise function
Evaluating Limits Algebraically
Author: ShaNisaa RaSun
The following problem is solved in this video. It is recommended that you try to solve the problem before watching the video. You can click "Answer" to reveal the answer to the problem.
Problem: Use the Properties of Limits to find the following limits algebraically, and verify your answer using the Direct Substitution Property.
- \(\displaystyle \lim_{x\to 7} \ (5x-x^2)\)
- \(\displaystyle \lim_{x\to -4} \dfrac{x^3-2}{2x^2}\)
- \(\displaystyle \lim_{x\to 7} \ (5x-x^2)=-14\)
- \(\displaystyle \lim_{x\to -4} \dfrac{x^3-2}{2x^2}=-\frac{33}{16}\)
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