Simple Limits

  • Thread starter anil
  • Start date
  • #1
anil
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:

Answers and Replies

  • #2
mathman
Science Advisor
8,077
547
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.
 
  • #3
BasketDaN
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:

Suggested for: Simple Limits

  • Last Post
Replies
0
Views
528
  • Last Post
Replies
6
Views
330
Replies
2
Views
531
Replies
2
Views
313
Replies
1
Views
264
Replies
6
Views
776
  • Last Post
Replies
20
Views
954
MHB Limit
  • Last Post
Replies
5
Views
484
MHB Limit
  • Last Post
Replies
1
Views
526
  • Last Post
Replies
2
Views
294
Top