Practice Limit in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Quick Recap

The value a function gets closer and closer to as the input approaches a specific target value, without necessarily reaching it.

What output do you get closer and closer to as you get closer and closer to some input?

Example 1

easy
Find \lim_{x \to 3} (2x + 1)

Example 2

medium
Find \lim_{x \to 2} \frac{x^2 - 4}{x - 2}

Example 3

hard
Find \lim_{x \to 0} \frac{\sin x}{x}

Example 4

easy
Find \lim_{x \to 5} (x^2 - 3x + 2)

Example 5

medium
Find \lim_{x \to -1} \frac{x^2 + 3x + 2}{x + 1}