In the previous posts, we have talked about different ways to find the limit of a function. We have gone over factoring, functions with square roots, and rational functions. What happens when none of those options work? That is when L’Hopital’s Rule comes in.

__L’Hopital’s Rule:__If or , where a is finite or ,

Then

**What does L’Hopital’s Rule mean?**

If f(x) and g(x) are differentiable and if the limit of as x approaches a is or , then we take the derivative of the numerator and the derivative of the denominator, . The limit of as x approaches a is equal to the limit of as x approaches a.

**When can you use L’Hopital’s Rule?**

- When the limit is in the indeterminate form of or
- Sometimes when the limit is in the other indeterminate forms
- When the function has an exponent and the limit is an indeterminate form

Here we will work out the first problem step by step (click here):

Try Substitution

We get an indeterminate form of

Take the derivative of the numerator:

Take the derivative of the denominator:

Simplify the function:

Substitution:

Here’s another example (click here):

Last example (click here):

L’Hopital’s rule is an easy way to find the limit, as long as the derivatives aren’t too tedious. It is important to remember to double check your work. I found myself a lot of times making simple errors, like forgetting the chain rule or changing signs. Next week we will talk about the chain rule for limits.

Fun fact: It is believed that Johann (John) Bernoulli discovered L’Hopital’s Rule.

Until next time,

Leah

How can appy the hospital rule using the symbolab?

ReplyDeleteI mean how can I selected to use the rule?

This program is a very good help in

ReplyDeleteYet it is still better than the program resolved by methods used in the Portuguese education system that does not include the rule L'Hopital

Thanks. It's a good post. And in competition exams mostly the questions of calculus are picked from this rule. But if you illustrate product rule, power rule. Then it will be a better post.

ReplyDeleteThe limit of $\frac{f\left(x\right)}{g\left(x\right)}$ as x approaches a is equal to the limit of $\frac{f^'\left(x\right)}{g^'\left(x\right)}$ as x approaches a. 250-430 braindumps

ReplyDeletejust information we only provide information for those who need it

ReplyDeletecara menggugurkan hamilA.

cara agar cepat hamil setelah selesai haidB.

cara agar cepat hamilC.

cara alami untuk segera mendapat kehamilanD.

makanan dan minuman agar cepat hamilE.

masa subur biar cepat hamilF.

panduan agar cepat hamilVery nice & help full information.....

ReplyDelete210-065 Dumps PDF

I think that homework does not have to be hard, if you agree with me I recommend that you check out this blog article for some additional useful info.

ReplyDeleteStudents can easily get the Uk Students Assignment Help services? StudentsAssignmentHelp.com is the best place for you. We are continue giving quality work for all our clients and make sure that all their academic needs are fulfilled. We are giving a varied range of academic writing help at a low price.

ReplyDeletejual obat aborsi asli obat penggugur kandungan asli dokter Call/wa. 082222210922

ReplyDeleteObat AborsiObat Aborsi AsliObat Aborsi MurahObat Aborsi ImportObat Penggugur KandunganObat Penggugur JaninObat Penggugur AsliJual Obat Penggugur KandunganObat Penggugur MurahObat Cytotec ManjurJual Obat Cytotec ManjurObat Aborsi AsliObat Cytotec AsliJual Cytotec AsliDokter Cytotec AsliObat Aborsi CepatObat AborsiCara Obat Aborsi CepatObat Aborsi OriginalObat Aborsi AsliObat Aborsi CytotecObat Aborsi AsliKlinik Obat Aborsi OriginalPusat Obat Aborsi AsliObat AborsiObat Aborsi PenggugurObat Aborsi AsliJual Obat AborsiCara Obat Aborsi KandunganObat Aborsi ManjurI want to share information about this blog i have read completely and found you shared good or informative content. As i previously read about Free Best Virus Scanner For Windows, which you should must read at once for your PC.

ReplyDeletethanks for sharing 082210743003

ReplyDeleteObat Aborsi

Obat Telat Bulan

Obat Penggugur

Jual Obat aborsi terbaik

Obat Aborsi Termurah

Obat Aborsi Terpercaya

Obat Aborsi terbaik

jual Obat aborsi termanjur

jual obat aborsi asli

jual obat telat bulan

jual obat aborsi

obat telat bulan

obat telat bulan asli

klinik obat telat bulan

obat telat bulan terbaik

This is quality work. Even though the topic is tangled on its own, your blog made it fun. Looking forward to similar topics in the future.

ReplyDeleteAre you looking for the Technology, Business, Fitness and Education News - Needynews is the one spot solution for all real-time updated news.

Mainkan di situs Togelplus dan dapatkan promo hadiah menarik

ReplyDeleteJual Obat Aborsi

ReplyDeleteObat Aborsi Asli

ReplyDeleteI would like to thank you for the high level and informative article with us.

I hope you and we will sharing more idea's and the keep writing more like the this one.

If you Search for Assignment Provider then contact with us.

It is very informative. You have given a fresh outlook on the topic. I would definitely share this on other platforms as well. complete my assignment

ReplyDeleteDisini kami akan berbagi informasi tentang

ReplyDeletecara menggugurkan hamildengan cepat dan akurat dengan menggunakanobat aborsi. Mungkin Anda adalah salah satu yang ingin mencari tahuobat penggugur kandunganyang aman dan terbukti ampuh , agar dapat membantu anda untuk melakukan prosescara mencegah kehamilanyang tidak Anda inginkan . Saat ini memang banyak sekali situs yangjual obat aborsisecara online . Namun anda harus lebih cermat dalam memilih . Misoprostol adalah obat menggugurkan kandungan terbaik untuk menginduksi rahim , dan ini bisa anda gunakan untuk memperlancar haid atau sebagaiobat telat datang bulan

ReplyDeletethanks for sharing 082210743003

obat aborsi

obat telat bulan

obat penggugur

jual obat aborsi

obat aborsi termurah

obat penggugurkandungan

jual obat penggugur kandungan

jual obat aborsi termanjur

obat penggugur termurah

obat telat bulan

jual obat telat bulan

klinik obat telat bulan

obat telat bulan termanjur

obat aborsi And I'm animated reading your article. But should remark on some general things, the website style is perfect; the articles are great. Thanks for the ton of tangible and attainable help.

ReplyDeleteobat penggugur kandungan

Such a beautiful information shared in this article and further you want to enhance your knowledge please read about Driver Tonic Activation Code whereby you can active driver tonic and update all drivers.

ReplyDelete