Q. 1 Indeterminate forms: Determine w... [FREE SOLUTION]

Chapter 3: Q. 1 (page 309)

Indeterminate forms: Determine which of the given forms are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.
$鈭� . 鈭� \frac{鈭�}{鈭�} 0^{0} {鈭�}^{鈭�} \frac{0}{0} 1^{鈭�} 鈭� - 鈭� \frac{0}{鈭�} 0^{鈭�} 鈭� . 0 \frac{鈭�}{0} {鈭�}^{0}$

Short Answer

Expert verified

The indeterminate form and the other forms of limit are:

鈭� . 鈭� = 鈭� \frac{鈭�}{鈭�} i s a n i n d e t e r m i n a t e f o r m . 0^{0} i s a n i n d e t e r m i n a t e f o r m . {鈭�}^{鈭�} = 鈭� \frac{0}{0} i s a n i n d e t e r m i n a t e f o r m . 1^{鈭�} i s a n i n d e t e r m i n a t e f o r m . 鈭� - 鈭� i s a n i n d e t e r m i n a t e f o r m . \frac{0}{鈭�} = 0 0^{鈭�} = 0 鈭� . 0 i s a n i n d e t e r m i n a t e f o r m . \frac{鈭�}{0} = 鈭� {鈭�}^{0} i s a n i n d e t e r m i n a t e f o r m .

Step by step solution

Step 1. Given Information.

Some forms:

$鈭� . 鈭� \frac{鈭�}{鈭�} 0^{0} {鈭�}^{鈭�} \frac{0}{0} 1^{鈭�} 鈭� - 鈭� \frac{0}{鈭�} 0^{鈭�} 鈭� . 0 \frac{鈭�}{0} {鈭�}^{0}$

Step 2. An indeterminate form.

An indeterminate form is the value that we are unable to value.

$鈭� . 鈭� = 鈭� \frac{鈭�}{鈭�} i s a n i n d e t e r m i n a t e f o r m . 0^{0} i s a n i n d e t e r m i n a t e f o r m . {鈭�}^{鈭�} = 鈭� \frac{0}{0} i s a n i n d e t e r m i n a t e f o r m . 1^{鈭�} i s a n i n d e t e r m i n a t e f o r m . 鈭� - 鈭� i s a n i n d e t e r m i n a t e f o r m . \frac{0}{鈭�} = 0 0^{鈭�} = 0 鈭� . 0 i s a n i n d e t e r m i n a t e f o r m . \frac{鈭�}{0} = 鈭� {鈭�}^{0} i s a n i n d e t e r m i n a t e f o r m .$

Unlock Step-by-Step Solutions & Ace Your Exams!

Full Textbook Solutions
Get detailed explanations and key concepts
Unlimited Al creation
Al flashcards, explanations, exams and more...
Ads-free access
To over 500 millions flashcards
Money-back guarantee
We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Recommended explanations on Math Textbooks

View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

91影视

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. An indeterminate form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Geometry

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.

91影视

Indeterminate forms: Determine which of the given forms are indeterminate. For each form that is not indeterminate, describe the behavior of a limit of that form.鈭�.鈭�鈭�鈭�00鈭�鈭�001鈭�鈭�-鈭�0鈭�0鈭�鈭�.0鈭�0鈭�0

Short Answer

Step by step solution

Step 1. Given Information.

Step 2. An indeterminate form.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Probability and Statistics

Geometry

Applied Mathematics

Mechanics Maths

Theoretical and Mathematical Physics

Study anywhere. Anytime. Across all devices.