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Chapter 12: Q. 12 (page 988)

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

limx鈫�a鈥�kf(x)=

Short Answer

Expert verified

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

Step by step solution

01

Step 1. Given information.

given, limx鈫�a鈥�kf(x)=

02

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, limx鈫�a鈥�Cf(x)=Climx鈫�a鈥�f(x)

That's why

limx鈫�a鈥�kf(x)=klimx鈫�a鈥�f(x)

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