Keep getting an indeterminate answer for limit

  • Thread starter Thread starter thomasrules
  • Start date Start date
  • Tags Tags
    Limit
Click For Summary

Homework Help Overview

The problem involves evaluating the limit as x approaches -2 for the expression [1/(1+x)+1]/[2x+x^2]. The subject area pertains to calculus, specifically limits and indeterminate forms.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the nature of the indeterminate form encountered, questioning whether it is truly indeterminate or infinite. There is mention of L'Hopital's rule as a potential approach to resolve the indeterminate form.

Discussion Status

The discussion is ongoing, with participants exploring different interpretations of the indeterminate form and considering various methods to address the limit. Guidance regarding L'Hopital's rule has been suggested, but no consensus has been reached.

Contextual Notes

Participants are grappling with the specifics of the limit's evaluation, particularly the conditions under which the expression yields an indeterminate form of 0/0.

thomasrules
Messages
243
Reaction score
0

Homework Statement


Determine the limit:

lim as x->-2 [1/(1+x)+1]/[2x+x^2]


Homework Equations





The Attempt at a Solution



I can't seem to work around it, I keep getting an indeterminate answer.
 
Physics news on Phys.org
thomasrules said:

Homework Statement


I can't seem to work around it, I keep getting an indeterminate answer.
Do you mean an indeterminate answer or an infinite one?
 
No i think indeterminate...
 
[tex]\lim_{x\rightarrow -2}\frac{\frac{1}{1+x}+1}{2x+x^2}[/tex]

Yes, Indeterminate: 0/0. But you shouldn't "keep" getting an inderminate answer. Have you tried L'Hopital's rule?
 

Similar threads

How to solve a limit in two variables with an indeterminate form at (0,0)?
  • · Replies 35 ·
2
Replies
35
Views
5K
Use Graph to Determine Limit: Calculating Limits with Piecewise Functions
  • · Replies 3 ·
Replies
3
Views
1K
Problems solving a limit which results in an indeterminate form
  • · Replies 4 ·
Replies
4
Views
2K
Real analysis: prove the limit exists
  • · Replies 13 ·
Replies
13
Views
4K
Distinct answers for two equivalent expressions?
  • · Replies 9 ·
Replies
9
Views
3K
Use the graph of f(x) to investigate the limit
  • · Replies 6 ·
Replies
6
Views
2K
Limit of a_n as n Approaches Infinity & Zero
  • · Replies 24 ·
Replies
24
Views
2K
Solving Limits: Finding a, b, c, and d for ∞-∞ Form
  • · Replies 2 ·
Replies
2
Views
2K
Limit of Taylor Polynomial for Tn(x) as n Approaches Infinity
  • · Replies 2 ·
Replies
2
Views
1K
Limit of 0^0: Evaluating x^sinx
  • · Replies 19 ·
Replies
19
Views
2K