My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Thanks Tree1Thanks
  • 1 Post By Country Boy
Reply
 
LinkBack Thread Tools Display Modes
November 10th, 2016, 05:19 PM   #1
Member
 
Joined: Aug 2016
From: South Korea

Posts: 55
Thanks: 0

Help!! How do I find table of values for undetermined Limit?

The given problem is 3x^2 + 2x/x , x> 0

and the only ans. Ive got is 0/0

How do I make Table of values for this and how can I determine if the limit exists or not??
SlayedByMath is offline  
 
November 10th, 2016, 05:45 PM   #2
Senior Member
 
Joined: Sep 2013
From: Earth

Posts: 827
Thanks: 36

Is this your question given?

$\displaystyle \lim_{x\rightarrow 0} 3x^2+\frac{2x}{x}$

If this is the question given, then the answer is 2.
jiasyuen is offline  
November 11th, 2016, 03:28 AM   #3
Math Team
 
Joined: Jan 2015
From: Alabama

Posts: 3,264
Thanks: 902

By "table of values", I think you mean just a table of values of your function for x close to 0.

If you mean as jiasyuen suggested (which is what you wrote) then when
x= 1, y= 3+ 2/2= 4
x= 1/2, y= (3/4)+ 1/(1/2)= 2.75
x= 1/4, y= (3/16)+ (1/2)/(1/4)= 2.1875
etc.

If you mean, as I suspect, [tex]\frac{3x^2+ 2x}{x} then
x= 1, y= (3+ 2)/1= 5
x= 1/2, y= (3/4+ 1)/1/2= 2(7/4)= 7/2= 3.5
x= 1/4, y= (3/16+ 1/2)/(1/4)= 4(11/16)= 11/4= 2.75
x= 1/8, y= (3/64+ 1/4)(1/8 )= 8(19/64)= 9/8= 1.125
etc.

You don't have to choose one over powers of two- that was my choice. Just a sequence of number getting closer and closer to 0.

But you really should not have to look at numbers like that- for one thing there exist functions such that you can get "closer and closer" to what looks like a limit but then, when you are really close, suddenly change.

Instead use the fact that and, as long as x is not 0, those 'x's cancel: .
The limit, as x goes to 0, is 3(0)+ 2= 2.
Thanks from SlayedByMath
Country Boy is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
find, limit, table, undetermined, values



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Table of values/Value table Pumaftw Elementary Math 14 November 13th, 2014 08:02 AM
Determine equation given a table of values dendimiiii Applied Math 1 February 12th, 2014 08:18 AM
Estimating derivative from table of values tham Calculus 1 September 15th, 2012 03:43 PM
Derivative and table of values rk183 Calculus 2 October 2nd, 2011 07:37 PM
For the limit below, find values of ? that correspond to the rodjav305 Calculus 1 January 28th, 2010 07:13 AM





Copyright © 2019 My Math Forum. All rights reserved.