Chapter 12: Q. 15 (page 988)

Fill in the blanks to complete the limit rules. You may assume that $lim_{x \to a} f (x)$ and $lim_{x \to a} g (x)$ exists and that k is a scalar.
$lim_{x \to a} (f (x) g (x)) =$

Short Answer

Expert verified

Ans: $lim_{x \to a} (f (x) g (x)) = lim_{x \to a} f (x) . lim_{x \to a} g (x)$ (According to rules of limit.)

Step by step solution

Step 1. Given information.

given, $lim_{x \to a} (f (x) g (x)) =$

Step 2. According to the rules of the limit,

The limit of a product is equal to the product of the limits.

$lim_{x \to a} (f (x) g (x)) = lim_{x \to a} f (x) . lim_{x \to a} g (x)$

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Fill in the blanks to complete the limit rules. You may assume that $lim_{x \to a} f (x)$ and $lim_{x \to a} g (x)$ exists and that k is a scalar.
$lim_{x \to a} (f (x) g (x)) =$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. According to the rules of the limit,

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Fill in the blanks to complete the limit rules. You may assume that limx→a f(x)and limx→a g(x)exists and that k is a scalar. limx→a (f(x)g(x))=

Short Answer

Step by step solution

Step 1. Given information.

Step 2. According to the rules of the limit,

One App. One Place for Learning.

Most popular questions from this chapter

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Fill in the blanks to complete the limit rules. You may assume that $lim_{x \to a} f (x)$ and $lim_{x \to a} g (x)$ exists and that k is a scalar.
$lim_{x \to a} (f (x) g (x)) =$