Math  /  Calculus

QuestionNYA Module 7: Problem 11
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value. In the first case answer IND, in the second enter the numerical value, and in the third case answer DNE. To discourage blind guessing, this problem is graded on the following scale 09 correct = 01013 correct =.31416 correct =.51719 correct =.7\begin{array}{l} 0-9 \text { correct = } 0 \\ 10-13 \text { correct }=.3 \\ 14-16 \text { correct }=.5 \\ 17-19 \text { correct }=.7 \end{array}
Note that l'Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. \infty^{-\infty}
2. 0\infty^{-0}
3. \infty^{\infty}
4. 1\infty^{1}
5. π\pi^{\infty}
6. 11^{\infty} 7.107.1^{0}
8. 0\infty^{0}
9. π\pi^{-\infty} 10.10 . \infty \cdot \infty
11. 0\frac{0}{\infty}
12. 1\frac{1}{-\infty} 13.013.0 \cdot \infty
14. 0\frac{\infty}{0}
15. 11^{-\infty} 16.116.1 \cdot \infty
17. \infty-\infty 18.0018.0^{0} \square 19.019.0^{\infty} \square 20. 00^{-\infty}

Studdy Solution
Analyze the form 00^{-\infty}:
- This form results in infinity because zero raised to a negative infinite power approaches infinity.
Result: DNE

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord