What are the limits of the given functions at x = 0 and x = -1?

  • Thread starter Thread starter NATURE.M
  • Start date Start date
  • Tags Tags
    Limits
Click For Summary

Homework Help Overview

The discussion revolves around evaluating the limits of two functions as x approaches specific values: the first function as x approaches 0 and the second as x approaches -1. The subject area pertains to calculus, specifically the concept of limits.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to calculate the limits for both functions, expressing uncertainty about the results, particularly for the second limit. Other participants ask for clarification on the reasoning behind the limit at x = -1.

Discussion Status

Participants have provided feedback on the original poster's attempts, with some affirming the calculations while seeking further elaboration on the second limit. The discussion appears to be productive, with multiple perspectives being explored regarding the limit's behavior as x approaches -1.

Contextual Notes

There is a noted uncertainty from the original poster about the limit at x = -1, and participants are discussing the implications of approaching from different sides of that point.

NATURE.M
Messages
298
Reaction score
0

Homework Statement



a. lim
x→0

(x^3 − 2x + 7)/(3x^2 − 3)


b. lim
x→-1

1/(x+1)


Homework Equations


The Attempt at a Solution



For a. I obtained a limit of 7/-3
For b. the limit does not exist

(I really unsure about this)
 
Physics news on Phys.org
They both look good. Could you elaborate on part (b) a little more though?
 
Zondrina said:
They both look good. Could you elaborate on part (b) a little more though?

Thanks.

For b:

lim 1/(x+1) = ∞ (+)
x→-1 (+)

lim 1/(x+1)= ∞ (-)
x→-1 (-)

Therefore, lim 1/(x+1)=undefined
x→-1
 
NATURE.M said:
Thanks.

For b:

lim 1/(x+1) = ∞ (+)
x→-1 (+)

lim 1/(x+1)= ∞ (-)
x→-1 (-)

Therefore, lim 1/(x+1)=undefined
x→-1

That's just fine.
 

Similar threads

  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 13 ·
Replies
13
Views
4K
Replies
3
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
1
Views
1K
  • · Replies 5 ·
Replies
5
Views
2K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 2 ·
Replies
2
Views
1K
Replies
30
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K