Indeterminate forms
Download
1 / 5

Indeterminate Forms - PowerPoint PPT Presentation


  • 619 Views
  • Uploaded on

Indeterminate Forms. The forms 0/0 and are called indeterminate because they do not guarantee that a limit exists, nor do they indicate what the limit is, if one does exist.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about 'Indeterminate Forms' - edna


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Indeterminate forms
Indeterminate Forms

The forms 0/0 and are called indeterminate because they do not guarantee that a limit exists, nor do they indicate what the limit is, if one does exist.

When you encountered one of these indeterminate forms earlier in the text, you attempted to rewrite the expression by using various algebraic techniques.


Indeterminate forms1
Indeterminate Forms

You can extend these algebraic techniques to find limits of transcendental functions. For instance, the limit

produces the indeterminate form 0/0. Factoring and then dividing produces


Indeterminate forms2
Indeterminate Forms

However, not all indeterminate forms can be evaluated by algebraic manipulation. This is often true when both algebraic and transcendental functions are involved.

For instance, the limit

produces the indeterminate form 0/0. Rewriting the expression to obtain

merely produces another indeterminate form,



L h pital s rule1
L’Hôpital’s Rule

The forms have been identified as indeterminate. There are similar forms that you should recognize as “determinate.”

As a final comment, remember that L’Hôpital’s Rule can be applied only to quotients leading to the indeterminate forms 0/0 and

Limit is positive infinity.

Limit is negative infinity.

Limit is zero.

Limit is positive infinity.


ad