Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 13 - Section 13.2 - Finding Limits Algebraically - 13.2 Exercises - Page 913: 1

Answer

$$\lim_{x\to a}f(x)+\lim_{x\to a}g(x)$$ $$\lim_{x\to a}f(x)\cdot\lim_{x\to a}g(x)$$ $sum$, $product$

Work Step by Step

According to the Limit Laws, $$\lim_{x\to a}[f(x)+g(x)]=\lim_{x\to a}f(x)+\lim_{x\to a}g(x)$$ and $$\lim_{x\to a}[f(x)g(x)]=\lim_{x\to a}f(x)\cdot\lim_{x\to a}g(x)$$ In words, the limit of a sum is the $sum$ of the limits, and the limit of a product is the $product$ of the limits.
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