Simple Limits

  • Thread starter anil
  • Start date
30
0
Hello I have been making unsucessful attempts in answering these following q's.

Find Limit of (1/(x-1)), as X approaches 1-. I got the answer as "Limit doesnot exist" but not sure.

Find Limit of (3+(7/x)), as X approaches 0+. I got the answer as "Limit doesnot exist" but not sure.

Any one know the answer?
 
Last edited:

mathman

Science Advisor
7,688
389
Your answers are correct as long as you (or your teacher) define limits as finite numbers. Otherwise the first problem has -infinity while the second has +infinity.
 
96
0
The limit for the first function indeed does NOT exist. Infinity is different than not existing, because for a limit to exist at a certain X Value, the limit that you obtain when approaching from the left side must be the same as the limit that you obtain from approaching from the right side, and in those functions, they do not, therefore the limit is not infinity, but is non-existant. The limit for the second one cannot be said as existing just because it is not specified if it is the limit from the negative or positive side, and the limit only exists when coming from the negative side.
 
Last edited:

Related Threads for: Simple Limits

  • Posted
Replies
7
Views
2K
  • Posted
Replies
1
Views
1K
  • Posted
Replies
4
Views
1K
  • Posted
Replies
6
Views
1K
  • Posted
Replies
3
Views
1K
Replies
1
Views
2K
Replies
11
Views
1K
Replies
27
Views
2K

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving

Hot Threads

Top