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Chapter 12: Q. 15 (page 988)

Fill in the blanks to complete the limit rules. You may assume that limx鈫�a鈥�f(x)and limx鈫�a鈥�g(x)exists and that k is a scalar.

limx鈫�a鈥�(f(x)g(x))=

Short Answer

Expert verified

Ans: limx鈫�a鈥�(f(x)g(x))=limx鈫�a鈥�f(x).limx鈫�a鈥�g(x)(According to rules of limit.)

Step by step solution

01

Step 1. Given information.

given, limx鈫�a鈥�(f(x)g(x))=

02

Step 2. According to the rules of the limit, 

The limit of a product is equal to the product of the limits.

limx鈫�a鈥�(f(x)g(x))=limx鈫�a鈥�f(x).limx鈫�a鈥�g(x)

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