Struggling with a Limit Calculation: Can You Help?

  • Thread starter Thread starter hugo.hribeiro
  • Start date Start date
  • Tags Tags
    Calculation Limit
Click For Summary
The discussion centers on a limit calculation involving the expression (2^x * (x + 1)) / (1 - 3^x) as x approaches infinity. The original poster believes the limit should be 0 but struggles to demonstrate this. Participants suggest dividing both the numerator and denominator by 2^x to simplify the expression. This approach helps clarify the limit's behavior as x increases. Ultimately, the community provides support in resolving the limit calculation.
hugo.hribeiro
Messages
3
Reaction score
0
I was reviewing my concepts of limits and didnt manage to solve this one. Probably is simple but I am not managing to get it.

Limit (2^x * (x + 1)) / (1 - 3^x)
+oo

i can see the answer is 0 but can't manage to get it...

Thx in advance,
 
Physics news on Phys.org
Recall that a^x=e^{\ln(a)x}.
 
yea, i remember that one...but still no luck in refactoring to a possible 0 result.
 
Divide top and bottom by 2^x.
 
Got it... divide by 2^x and then divid again by x.

Thx people ;)
 

Similar threads

Undergrad To What Extent Can You Manipulate Limits?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad What's my mistake in this integration problem?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Result of this integral in large Lambda limit
  • · Replies 12 ·
Replies
12
Views
3K
Undergrad Calculate limits as distributions
  • · Replies 4 ·
Replies
4
Views
2K
High School Question about the limits of integration in a change of variables
  • · Replies 2 ·
Replies
2
Views
3K
MHB What is the Limit of (3x)/(x-2) as x Approaches 2 from the Left?
  • · Replies 5 ·
Replies
5
Views
1K
High School Why does the Limit Process give an Exact Slope?
  • · Replies 53 ·
2
Replies
53
Views
5K
MHB How to Find the Limit of (1 - x)/[(3 - x)^2] as x Approaches 3?
  • · Replies 5 ·
Replies
5
Views
1K
Undergrad A question about limits and infinity
  • · Replies 7 ·
Replies
7
Views
2K
MHB Is the Limit of 1/(x^2 - 9) as x Approaches -3 from the Left Positive Infinity?
  • · Replies 5 ·
Replies
5
Views
2K