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1. Limits and Continuity

Determining Limits Using Algebraic Properties Of Limits — Quiz

Test your understanding of determining limits using algebraic properties of limits with 5 practice questions.

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Practice Questions

Question 1

If $\lim_{x\to 2} f(x)=5$ and $\lim_{x\to 2} g(x)=3$, what is $\lim_{x\to 2} \big(f(x)+g(x)\big)$?

Question 2

If $\lim_{x\to -1} f(x)=4$, what is $\lim_{x\to -1} 7f(x)$?

Question 3

If $\lim_{x\to 3} p(x)=2$ and $\lim_{x\to 3} q(x)=5$, what is $\lim_{x\to 3} \big(p(x)q(x)\big)$?

Question 4

If $\lim_{x\to 4} a(x)=6$ and $\lim_{x\to 4} b(x)=2$, what is $\lim_{x\to 4} \frac{a(x)}{b(x)}$?

Question 5

What is $\lim_{x\to 1} (x^2+4x-1)$?