Understanding Indeterminate Forms in Calculus

1. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule Indeterminate form indeterminate form of type Indeterminate form indeterminate form of type

2. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule L’HOSPITAL’S RULE indeterminate form of type Note: l’Hospital’s Rule can’t be applied here

3. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F121

4. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F101

5. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule Indeterminate form indeterminate form of type Convert into If you have ln keep it in top

6. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule Indeterminate form indeterminate form of type try to convert the difference into a quotient (for instance, by using a common denominator, or rationalization, or factoring out a common factor) so that we have an indeterminate form of type 0/0 or inf/inf

7. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F122

8. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule Indeterminate Powers these three cases can be treated either by taking the natural logarithm: F091 or by writing the function as an exponential:

9. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F101

10. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F083

11. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule F083

12. Sec 4.5: Indeterminate Forms And L’Hospital’s Rule