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Q. 12

Expert-verified

Calculus

Found in: Page 988

Book edition 1st

Author(s) Peter Kohn, Laura Taalman

Pages 1155 pages

ISBN 9781429241861

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Short Answer

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

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

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

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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