Chapter 1: Q. 40 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to 3^{+}} (1 - 3 x + x^{2})$

Short Answer

Expert verified

The value of $\lim_{x \to 3^{+}} (1 - 3 x + x^{2})$ is $1 .$

Step by step solution

Step 1. Given information.

The given limit function is $\lim_{x \to 3^{+}} (1 - 3 x + x^{2}) .$

Step 2. Table of values.

A table of values can be made as,

$x$	$3$	$3.001$	$3.01$	$3.1$
$1 - 3 x + x^{2}$	*	$1.003001$	$1.0301$	$1.31$

Hence, $1 - 3 x + x^{2}$ approaches to $1 .$

Therefore,

$\lim_{x \to 3^{+}} (1 - 3 x + x^{2}) = 1$ .

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to 3^{+}} (1 - 3 x + x^{2})$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Table of values.

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Use tables of values to make educated guesses for each of the limits in Exercises 39–52.limx→3+1-3x+x2

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

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Study anywhere. Anytime. Across all devices.

Use tables of values to make educated guesses for each of the limits in Exercises 39–52.
$\lim_{x \to 3^{+}} (1 - 3 x + x^{2})$