Chapter 12: Q. 12 (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.
$lim_{x \to a} k f (x) =$

Short Answer

Expert verified

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

Step by step solution

Step 1. Given information.

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

Step 2. According to the rules of the limit,

The limit of constant times a function is equal to the constant times the limit of the function.

like if C is a scalar then, $lim_{x \to a} C f (x) = C lim_{x \to a} f (x)$

That's why

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

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

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 kf(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

Probability and Statistics

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Theoretical and Mathematical Physics

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