1. Indeterminate form Indeterminate form
Sec 4.4: Indeterminate Forms And L’Hospital’s Rule
Indeterminate form
indeterminate form of type
Indeterminate form
indeterminate form of type

2. L’HOSPITAL’S RULE Sec 4.4: Indeterminate Forms And L’Hospital’s Rule
indeterminate form of type
Note:
l’Hospital’s Rule can’t be applied here

3. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule

4. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule

5. Indeterminate form Sec 4.4: Indeterminate Forms And L’Hospital’s Rule
indeterminate form of type
Convert into
If you have ln keep it in top

6. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule

7. Indeterminate form Sec 4.4: Indeterminate Forms And L’Hospital’s Rule
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

8. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule8

9. Sec 4.4: 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:

10. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule

11. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule

12. Sec 4.4: Indeterminate Forms And L’Hospital’s Rule