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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 $\lim_{x\to -1} \big(3f(x)\big)$?

Question 3

If $\lim_{x\to 1} f(x)=2$ and $\lim_{x\to 1} g(x)=5$, what is $\lim_{x\to 1} \big(f(x)g(x)\big)$?

Question 4

If $\lim_{x\to 3} f(x)=6$ and $\lim_{x\to 3} g(x)=2$, what is $\lim_{x\to 3} \dfrac{f(x)}{g(x)}$?

Question 5

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