Is the Limit of ln^2(9-x^2) as x Approaches 3 from the Left Infinity?

  • Thread starter transgalactic
  • Start date
  • Tags
    Limit Ln
In summary, as x approaches 3 from below, the value of ln(9 - x^2) approaches negative infinity, which when squared becomes positive infinity. This is because the value within the ln approaches 0, and ln becomes infinitely negative.
  • #1
transgalactic
1,395
0
[tex]
\lim_{x->3^-} ln^2(9-x^2)=+\infty
[/tex]
the meaning of this ln is e^+infinity=closser to 0

how is that??

by my math e^+infinity is infinity
 
Physics news on Phys.org
  • #2
As x approaches three, then ln(9 - x^2) approaches 0 and so the value goes to negative infinity, squaring it gives you positive infinity.
 
  • #3
JG89 said:
As x approaches three, then ln(9 - x^2) approaches 0 and so the value goes to negative infinity, squaring it gives you positive infinity.
Not quite. As x approaches 3 from below, 9 - x^2 approaches 0, from the positive side, so ln(9 -x^2) approaches negative infinity, so [ln(9 - x^2)]^2 approaches positive infinity.
 
  • #4
Oops, I meant to say that the value within the ln approaches 0 and so ln approaches negative infinity, which when squared is positive infinity.
 
  • #5
Happens to the best of us :smile:
 

Related to Is the Limit of ln^2(9-x^2) as x Approaches 3 from the Left Infinity?

1. What is the purpose of a "Ln limit result question" in scientific research?

The purpose of a "Ln limit result question" is to determine the limit of a certain phenomenon or variable, usually in relation to other variables, in order to better understand and explain the underlying mechanisms and processes at work.

2. How is a "Ln limit result question" typically approached in scientific studies?

A "Ln limit result question" is typically approached using various experimental and analytical methods, such as controlled experiments, statistical analysis, and mathematical modeling, to collect and analyze data and draw conclusions about the limit of the phenomenon being studied.

3. What are some common examples of "Ln limit result questions" in different fields of science?

Examples of "Ln limit result questions" can vary widely depending on the field of science. In physics, it could be about the maximum speed an object can reach. In biology, it could be about the maximum lifespan of a species. In psychology, it could be about the maximum amount of information the human brain can process. In all cases, the goal is to determine the limit of the phenomenon being studied.

4. How do scientists ensure the accuracy and reliability of their "Ln limit result" findings?

Scientists use various methods to ensure the accuracy and reliability of their "Ln limit result" findings. This includes carefully designing and conducting experiments, using appropriate statistical methods, and replicating the results multiple times to ensure consistency.

5. What is the significance of "Ln limit result" in scientific research?

The "Ln limit result" is significant in scientific research because it helps us understand the boundaries and limitations of natural phenomena, which can then be used to make predictions and inform future research. It also allows us to identify any gaps in our current understanding and guide further investigation and discovery.

Similar threads

  • Calculus and Beyond Homework Help
Replies
13
Views
754
  • Calculus and Beyond Homework Help
Replies
34
Views
2K
  • Calculus and Beyond Homework Help
Replies
5
Views
357
  • Calculus and Beyond Homework Help
Replies
14
Views
428
  • Calculus and Beyond Homework Help
Replies
10
Views
1K
  • Calculus and Beyond Homework Help
Replies
20
Views
1K
  • Calculus and Beyond Homework Help
Replies
8
Views
963
  • Calculus and Beyond Homework Help
Replies
8
Views
747
  • Calculus and Beyond Homework Help
Replies
15
Views
1K
  • Calculus and Beyond Homework Help
Replies
12
Views
973
Back
Top