Indeterminate form Indeterminate form

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Presentation transcript:

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

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

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

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

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

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

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

Sec 4.4: Indeterminate Forms And L’Hospital’s Rule 8

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:

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

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

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