Chapter 12: Q. 13 (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 sum is equal to the sum 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

Calculus

Probability and Statistics

Pure Maths

Applied Mathematics

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Mechanics Maths

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