- #1

xdrgnh

- 417

- 0

Thanks

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

In summary, L'Hospital's rule can only be used to find limits of indeterminate forms, and it works by taking the limit of the ratio of the derivatives of two functions. However, it is not always accurate and should be carefully applied. It can also be applied multiple times, but there are other methods available for finding limits of complex functions.

- #1

xdrgnh

- 417

- 0

Thanks

Physics news on Phys.org

- #2

mathman

Science Advisor

- 8,140

- 572

xdrgnh said:

Thanks

Yes - as long as the necessary derivatives are continuous at the z in question.

No, L'Hospital's rule can only be used to find limits of indeterminate forms, such as 0/0 or ∞/∞. It cannot be applied to all complex functions.

L'Hospital's rule states that if the limit of a function f(x) as x approaches a certain value is indeterminate, then the limit of the ratio of f(x) divided by another function g(x) will be the same as the limit of the ratio of their derivatives, provided that the limit of the ratio of g(x) and its derivative is finite.

No, L'Hospital's rule is not always accurate. It may not work for certain functions or in cases where the limit does not exist. It is important to check the conditions and assumptions of the rule before applying it.

Yes, L'Hospital's rule can be applied multiple times as long as the resulting limit still satisfies the conditions and assumptions of the rule. However, it is important to note that blindly applying the rule multiple times may lead to incorrect results.

Yes, there are other methods for finding limits of complex functions such as using algebraic manipulation, substitution, or using special limits. These methods may be more suitable for certain functions and may provide more accurate results.

- Replies
- 1

- Views
- 975

- Replies
- 3

- Views
- 2K

- Replies
- 21

- Views
- 1K

- Replies
- 3

- Views
- 1K

- Replies
- 53

- Views
- 2K

- Replies
- 9

- Views
- 447

- Replies
- 2

- Views
- 1K

- Replies
- 8

- Views
- 1K

- Replies
- 10

- Views
- 2K

- Replies
- 2

- Views
- 2K

Share: