Chapter 12: Q. 14 (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 the limit rules.)

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 difference is equal to the difference 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)andlimx→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

Recommended explanations on Math Textbooks

Mechanics Maths

Statistics

Theoretical and Mathematical Physics

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Calculus

Study anywhere. Anytime. Across all devices.

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