Chapter 14: Q. 5 (page 883)

True or False The limit of a rational function at $5$ equals the value of the rational function at $5$

Short Answer

Expert verified

FALSE

Step by step solution

Step 1. Limit of a Quotient theorem

Limit of a Quotient:

$\lim_{x \to c} [\frac{f (x)}{g (x)}] = \frac{\lim_{x \to c} f (x)}{\lim_{x \to c} g (x)}$

where, $g (x)$ is not equal to zero.

Step 2. Evaluating the given statement

The given statement " The limit of a rational function at $5$ equals the value of the rational function at $5$ " is False because it is not mentioned if the denominator of the rational function is non-zero.

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True or False The limit of a rational function at $5$ equals the value of the rational function at $5$

Short Answer

Step by step solution

Step 1. Limit of a Quotient theorem

Step 2. Evaluating the given statement

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True or False The limit of a rational function at5 equals the value of the rational function at5

Short Answer

Step by step solution

Step 1. Limit of a Quotient theorem

Step 2. Evaluating the given statement

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Mechanics Maths

Applied Mathematics

Discrete Mathematics

Geometry

Pure Maths

Study anywhere. Anytime. Across all devices.

True or False The limit of a rational function at $5$ equals the value of the rational function at $5$