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Q. 12

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 limxaf(x) andlimxag(x) exists and that k is a scalar.


Ans: limxakf(x)= k limxaf(x) (According to rules of limit.)

See the step by step solution

Step by Step Solution

Step 1. Given information.

given, limxakf(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, limxaCf(x)= C limxaf(x)

That's why

limxakf(x)= k limxaf(x)

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