Exploring the Limit of -e^(-infinity) in Mathematics

  • Thread starter gillgill
  • Start date
In summary, the value of -e^(-infinity) is equal to 0 and cannot be simplified to a different value. It does have a limit of 0 as the input approaches infinity. The graph of -e^x approaches -e^(-infinity) from the positive side on the y-axis. And finally, -e^(-infinity) is an indeterminate form that cannot be evaluated without knowing the context of the function and its limit.
  • #1
gillgill
128
0
does -e^(-infinity) equals 0?
 
Physics news on Phys.org
  • #2
The limit of e^x as x-->-infinity is 0.
 
  • #3
Are you referring to [itex]\lim_{x\rightarrow\infty} -e^{-x}[/itex] ?
 
  • #4
yes...
 
  • #5
As kamataat said, [itex]\lim_{x\rightarrow\infty} e^{-x}= 0[/itex] and so
[itex]\lim_{x\rightarrow\infty} -e^{-x}= -0= 0[/itex].
 
  • #6
i see. thanks.
 

FAQ: Exploring the Limit of -e^(-infinity) in Mathematics

1. What is the value of -e^(-infinity)?

The value of -e^(-infinity) is equal to 0.

2. Can -e^(-infinity) be simplified to a different value?

No, -e^(-infinity) cannot be simplified to a different value as it approaches 0 in the limit as infinity increases.

3. Does -e^(-infinity) have a limit?

Yes, as the input of -e^x approaches infinity, the output approaches 0, giving -e^(-infinity) a limit of 0.

4. How does the graph of -e^x approach -e^(-infinity)?

The graph of -e^x approaches 0 as x approaches infinity, meaning it approaches -e^(-infinity) from the positive side on the y-axis.

5. Is -e^(-infinity) an indeterminate form?

Yes, -e^(-infinity) is an indeterminate form as it cannot be evaluated without knowing the context of the function and its limit.

Similar threads

What is the difference in this limit?
Replies
10
Views
1K
Limit Definition of Derivative as n Approaches Infinity
Replies
20
Views
2K
Finding limit using integration
Replies
14
Views
440
Exercise on law of total expectation
Replies
1
Views
535
Use Graph To Investigate Limit
Replies
10
Views
782
Proving limits for roots and exponents
Replies
13
Views
1K
Limit of (-x^(k+1))/e^x: Solving Step by Step with l'Hopital's Rule
Replies
5
Views
2K
What is my mistake in solving for this limit?
Replies
23
Views
1K
Multivariable Limit Problem: Find Values of k That Make Limit Exist
Replies
9
Views
1K
The value of a Fourier series at a jump point (discontinuity)
Replies
2
Views
1K

Hot Threads

Recent Insights

Back
Top