Слайд 2
![Quiz Review Retakes?](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-1.jpg)
Слайд 3
![Indeterminate forms An indeterminate form is a value that we](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-2.jpg)
Indeterminate forms
An indeterminate form is a value that we are unable
to evaluate. Each indeterminate form type is defined by the expression that can’t be evaluated
Examples of indeterminate forms:
Слайд 4
![L’Hopital’s Rule We can use L’Hopital’s Rule to solve difficult](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-3.jpg)
L’Hopital’s Rule
We can use L’Hopital’s Rule to solve difficult limits that
are indeterminate forms
Thm-
We can take the derivative of the numerator and denominator separately, and it will not affect the limit.
Слайд 5
![Ex 1.5 Evaluate](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-4.jpg)
Слайд 6
![Ex 1.6 Evaluate](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-5.jpg)
Слайд 7
![Ex 1.7 You can only use L’Hopital’s Rule if the limit has an indeterminate form!](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-6.jpg)
Ex 1.7
You can only use L’Hopital’s Rule if the limit has
an indeterminate form!
Слайд 8
![Some proofs F(x) = e^x grows faster than any polynomial](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-7.jpg)
Some proofs
F(x) = e^x grows faster than any polynomial
Слайд 9
![You try Evaluate the limits using L’Hopital’s Rule 1) 2) 3)](/_ipx/f_webp&q_80&fit_contain&s_1440x1080/imagesDir/jpg/87819/slide-8.jpg)
You try
Evaluate the limits using L’Hopital’s Rule
1)
2)
3)