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

**1. Try Substitution**

By substituting in 4, we get that the limit approaches an indeterminate form. Therefore, this method does not work.

**2. Rationalize the function by multiply the numerator and denominator by the conjugate**

We multiplied the numerator and denominator by the conjugate of √x-2 in order to get rid of the radical. Make sure not to multiply out the denominator in case we can factor out something.

**3. Factoring**

We factored out (x-4) because it was in the numerator and the denominator.

**4. Substitution**

Here’s another example (click here):

In this next example we do not need to multiply the numerator and denominator by the conjugate. We are able to algebraically manipulate the function in order to rationalize it.

Here’s the example (click here):

There are most steps to this method, which may make it seem hard. As long as you write out each step and pay attention to the sign changes, you should be able to do it. Next post will be about solving limits of rational functions.

Until next time,

Leah

Very illustrative, thankyou!

ReplyDeleteI was more than happy to find this web site. I need to thank you for your moment due to this unbelievable read!! I definitely savored every bit of it and I have you book-marked to see new things in your web site. best custom essay writing

ReplyDeleteThanks for sharing this nice information with us,

ReplyDeleteSI kaise bane

Would love to see more helpful tutorials regarding to mathmatics and more specifically, integration.

ReplyDeleteluton airport meet and greet

I think that here you will find more info, guys.

ReplyDeleteOur online term paper are reputable and known for offering high quality custom term papers and may students buy cheap term papers from us. We normally write academic papers in all disciplines of study.

ReplyDeletethank you.

ReplyDeleteคาสิโนออนไลน์ที่น่าเชื่อถือและมีความเป็นมืออาชีพที่สุดในตอนนี้

โปรโมชั่นGclub ของทางทีมงานตอนนี้แจกฟรีโบนัส 50%

เพียงแค่คุณสมัคร สล็อตออนไลน์ กับทางทีมงานของเราเพียงเท่านั้น

ร่วมมาเป็นส่วนหนึ่งกับเว็บไซต์คาสิโนออนไลน์ของเราได้เลยค่ะ

สมัครสล็อตออนไลน์ >>> Goldenslot

สนใจร่วมสนุกกับ คาสิโนออนไลน์ คลิ๊กได้เลย

มีทั้งคาสิโนออนไลน์ หวยออนไลน์ ฟุตบอลออนไลน์ สล็อตออนไลน์ และอื่นๆอีกมากมาย