Q. 43 Use tables of values to make edu... [FREE SOLUTION]

91影视

Chapter 1: Q. 43 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 3} \frac{x - 3}{(x^{2} - 2) (x - 3)}$

Short Answer

Expert verified

The value is $0.413 .$

Step by step solution

Step 1. Given information.

The given function is $\lim_{x 鈫� 3} \frac{x - 3}{(x^{2} - 2) (x - 3)} .$

Step 2. Table of values.

Consider the table,

$x$	$2.9$	$2.99$	$2.999$	$3$	$3.001$	$3.01$	$3.1$
$\frac{x - 3}{(x^{2} - 2) (x - 3)}$	$0.156$	$0.144$	$0.143$	*	$0.143$	$0.143$	$0.131$

The value of $\frac{x - 3}{(x^{2} - 2) (x - 3)}$ approaches to $0.143$ to the left and right.

Therefore, $\lim_{x 鈫� 3} \frac{x - 3}{(x^{2} - 2) (x - 3)} = 0.143$

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91影视

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 3} \frac{x - 3}{(x^{2} - 2) (x - 3)}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Table of values.

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91影视

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.limx鈫�3x-3x2-2(x-3)

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Table of values.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Geometry

Theoretical and Mathematical Physics

Decision Maths

Applied Mathematics

Statistics

Study anywhere. Anytime. Across all devices.

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 3} \frac{x - 3}{(x^{2} - 2) (x - 3)}$