Q. 16 Fill in the blanks to complete t... [FREE SOLUTION]

Chapter 12: Q. 16 (page 988)

Fill in the blanks to complete the limit rules. You may assume that $lim_{x 鈫� a} 鈥� f (x)$ and $lim_{x 鈫� a} 鈥� g (x)$ exists and that k is a scalar.
localid="1650304959777" $lim_{x 鈫� a} 鈥� (f (x) / g (x)) =$ , Provided that

Short Answer

Expert verified

Ans: $lim_{x 鈫� a} 鈥� (f (x) / g (x)) = \frac{lim_{x 鈫� a} 鈥� f (x)}{lim_{x 鈫� a} 鈥� g (x)}$ provided that $lim_{x 鈫� a} 鈥� g (x) 鈮� 0$ (According to rules of limit.)

Step by step solution

Step 1. Given information.

given, $lim_{x 鈫� a} 鈥� (f (x) g (x)) =$ , provided that

Step 2. According to the rules of the limit,

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

lim_{x 鈫� a} 鈥� (f (x) / g (x)) = \frac{lim_{x 鈫� a} 鈥� f (x)}{lim_{x 鈫� a} 鈥� g (x)}

provided that

lim_{x 鈫� a} 鈥� g (x) 鈮� 0

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91影视

Fill in the blanks to complete the limit rules. You may assume that $lim_{x 鈫� a} 鈥� f (x)$ and $lim_{x 鈫� a} 鈥� g (x)$ exists and that k is a scalar.
localid="1650304959777" $lim_{x 鈫� a} 鈥� (f (x) / g (x)) =$ , Provided that

Short Answer

Step by step solution

Step 1. Given information.

Step 2. According to the rules of the limit,

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91影视

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. localid="1650304959777" limx鈫�a鈥�(f(x)/g(x))= , Provided that

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

Geometry

Discrete Mathematics

Calculus

Probability and Statistics

Statistics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Fill in the blanks to complete the limit rules. You may assume that $lim_{x 鈫� a} 鈥� f (x)$ and $lim_{x 鈫� a} 鈥� g (x)$ exists and that k is a scalar.
localid="1650304959777" $lim_{x 鈫� a} 鈥� (f (x) / g (x)) =$ , Provided that