Q. 16 Suppose聽f and聽g are functions ... [FREE SOLUTION]

Chapter 1: Q. 16 (page 135)

Supposef andg are functions such that $\lim_{x 鈫� 3} f (x) = 5, \lim_{x 鈫� 4} f (x) = 2$ and $\lim_{x 鈫� 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x 鈫� 4} f (x) g (x)$

Short Answer

Expert verified

The value of $\lim_{x 鈫� 4} f (x) g (x)$ cannot be calculated because $v a l u e o f \lim_{x 鈫� 4} g (x)$ is not given

Step by step solution

Step 1. Given information

The given limit $\lim_{x 鈫� 4} f (x) g (x)$ and given values $\lim_{x 鈫� 3} f (x) = 5, \lim_{x 鈫� 4} f (x) = 2$ and $\lim_{x 鈫� 3} g (x) = 4$

Step 2. Calculating value of the given limits

The value can be calculated as below,

$\lim_{x 鈫� 4} f (x) g (x) = \lim_{x 鈫� 4} f (x) \lim_{x 鈫� 4} g (x) [p r o d u c t r u l e] = (2) \lim_{x 鈫� 4} g (x) = 2 \lim_{x 鈫� 4} g (x)$

Since the value of $\lim_{x 鈫� 4} g (x)$ is not given,therefore,the value of the expression cannot be calculated

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91影视

Supposef andg are functions such that $\lim_{x 鈫� 3} f (x) = 5, \lim_{x 鈫� 4} f (x) = 2$ and $\lim_{x 鈫� 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x 鈫� 4} f (x) g (x)$

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating value of the given limits

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91影视

Supposef andg are functions such that limx鈫�3f(x)=5,limx鈫�4f(x)=2andlimx鈫�3g(x)=4Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.limx鈫�4f(x)g(x)

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculating value of the given limits

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Applied Mathematics

Probability and Statistics

Decision Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

Supposef andg are functions such that $\lim_{x 鈫� 3} f (x) = 5, \lim_{x 鈫� 4} f (x) = 2$ and $\lim_{x 鈫� 3} g (x) = 4$
Given this information, calcuate the limits that follow, if possible. If it is not possible with the given information, explain why.
$\lim_{x 鈫� 4} f (x) g (x)$