Chapter 1: Q. 47 (page 153)

Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
$\infty \times \infty .$

Short Answer

Expert verified

Given limit form is not indeterminate and it will be always $\infty .$

Step by step solution

Step 1. Given Information.

Given is a limit form: $\infty \times \infty .$

Step 2. Indeterminate forms available.

$W e h a v e f o l l o w i n g 7 i n d e t e r m i n a t e f o r m s a v a i l a b l e w i t h u s : \infty^{0}, \infty - \infty, \frac{0}{0}, \frac{\infty}{\infty}, 0^{0}, 0 \times \infty, 1^{\infty} .$

Step 3. Determining the value of the limit form given.

Since, it is clear that it is not an indeterminate form.

Infinity multiplies infinity will be infinity i.e., $\infty \times \infty = \infty .$

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Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
$\infty \times \infty .$

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Indeterminate forms available.

Step 3. Determining the value of the limit form given.

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Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form. ∞×∞.

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. Indeterminate forms available.

Step 3. Determining the value of the limit form given.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Probability and Statistics

Logic and Functions

Applied Mathematics

Theoretical and Mathematical Physics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

Indeterminate forms: Identify which of the limit forms listed here are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
$\infty \times \infty .$