# Tutor.com Limits Session

##### May. 24, 2012

Session Transcript - Math - Calculus, 5/1/2012 9:22PM - Tutor.comSession Date: 5/1/2012 9:22PM
Length: 12 minute(s)
Subject: Math - Calculus

System Message
[00:00:00] *** Please note: All sessions are recorded for quality control. ***

Guest (Customer)
[00:00:00] Find the Limit for each.

Benjamin C (Tutor)
[00:00:06] Hi, how are you?

Guest (Customer)
[00:00:06] hey let's get started
[00:00:08] good!

Benjamin C (Tutor)
[00:00:25] great! so you do not know how to start this problem?

Guest (Customer)
[00:00:43] hmm noo

Benjamin C (Tutor)
[00:00:52] have you tried anything yet?

Guest (Customer)
[00:01:32] hmm i really don't know what to do

Benjamin C (Tutor)
[00:02:08] ok, well the first thing you should always try in a limit problem is substitution. do you know how to do that?

Guest (Customer)
[00:02:16] plug in the zero?

Benjamin C (Tutor)
[00:02:20] right

Guest (Customer)
[00:02:26] well then it would be over zero
[00:02:29] which is undefined

Benjamin C (Tutor)
[00:02:54] correct, so now we know that we have to do some kind of algebraic manipulation

Guest (Customer)
[00:03:00] exactly!
[00:03:09] ohhh
[00:03:17] multiply by the conjugant possibly?

Benjamin C (Tutor)
[00:03:24] YES!

Guest (Customer)
[00:03:30] okayy let me try

Benjamin C (Tutor)
[00:03:34] sure

Guest (Customer)
[00:04:23] okayyy
[00:04:27] now foil it out and all?

Benjamin C (Tutor)
[00:04:34] yep!

Guest (Customer)
[00:05:21] so
[00:05:26] is squroot of 6
[00:05:31] times squroot 6
[00:05:38] equal to squartoot of 36?
[00:05:43] and so it owuld just be 6?

Benjamin C (Tutor)
[00:05:48] yes
[00:06:35] wait... square root of 36 is 6 right?

Guest (Customer)
[00:06:44] yesss
[00:06:45] ohyeah!
[00:06:47] that's what i meant

Benjamin C (Tutor)
[00:06:57] thought so

Guest (Customer)
[00:08:01] right so far?

Benjamin C (Tutor)
[00:08:11] yes! looks great

Guest (Customer)
[00:08:18] what to do now though?

Benjamin C (Tutor)
[00:08:30] what did we try at the very begining?

Guest (Customer)
[00:08:53] substitution?

Benjamin C (Tutor)
[00:08:59] right you are!

Guest (Customer)
[00:09:17] so then??

Benjamin C (Tutor)
[00:09:38] thats the answer. you may want to simplify it further

Guest (Customer)
[00:09:45] how soo?
[00:10:05] like that?
[00:10:22] or is that wrong?

Benjamin C (Tutor)
[00:10:48] almost.... squareroots usually should not be on the denom...

Guest (Customer)
[00:10:57] so rationalize them?

Benjamin C (Tutor)
[00:11:09] yeah pretty much

Guest (Customer)
[00:11:21] 2 times 6

Benjamin C (Tutor)
[00:11:22] you got it!

Guest (Customer)
[00:11:22] is 12
[00:11:25] nice!!!

Benjamin C (Tutor)