Q. 45 Use tables of values to make edu... [FREE SOLUTION]

91影视

Chapter 1: Q. 45 (page 88)

Use tables of values to make educated guesses for each of the limits in Exercises 39鈥�52.
$\lim_{x 鈫� 2} \frac{3}{4 - 2^{x}}$

Short Answer

Expert verified

The value of the limit does not exist.

Step by step solution

Step 1. Given information.

The given function is $\lim_{x 鈫� 2} \frac{3}{4 - 2^{x}}$

Step 2. Value of the limit.

Consider the table,

$x$	$1.9$	$1.99$	$1.999$	$2$	$2.001$	$2.01$	$2.1$
$\frac{3}{4 - 2^{x}}$	$11.199$	role="math" localid="1648522675095" $108.57$	role="math" localid="1648522644841" $1082.39$		$- 1081.64$	$- 107.82$	$- 10.44$

The value of $\frac{3}{4 - 2^{x}}$ approaches to $鈭�, - 鈭�$ to the left and right respectively.

Therefore, the limit does not exist.

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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.
$\lim_{x 鈫� 2} \frac{3}{4 - 2^{x}}$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

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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�234-2x

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Value of the limit.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Mechanics Maths

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Logic and Functions

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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鈥�52.
$\lim_{x 鈫� 2} \frac{3}{4 - 2^{x}}$