What is the difference between converging and diverging functions?

  • Thread starter Thread starter cemar.
  • Start date Start date
  • Tags Tags
    Converging
Click For Summary
Converging functions refer to sequences or series that approach a specific value as they progress, while diverging functions do not settle on a single value and can grow indefinitely or oscillate. The distinction is primarily made in the context of sequences and series rather than functions themselves. To recognize convergence, one can look for a limit that the sequence or series approaches, whereas divergence is indicated by a lack of such a limit. Understanding these concepts is crucial in mathematical analysis and calculus. The discussion highlights the importance of differentiating between the behavior of sequences and series in relation to functions.
cemar.
Messages
41
Reaction score
0
Can someone please explain the difference between a converging and a diverging function and how to recognize when each occur??
Thank you!
 
Physics news on Phys.org
Well I've never heard of a converging or diverging "function". There are sequences and series which are said to converge or diverge (hone into a specific value or not). And you can define a function on a series or a sequence.
 

Thread 'Distance between a Clock's hands when the distance is increasing most rapidly'

Question: A clock's minute hand has length 4 and its hour hand has length 3. What is the distance between the tips at the moment when it is increasing most rapidly?(Putnam Exam Question) Answer: Making assumption that both the hands moves at constant angular velocities, the answer is ## \sqrt{7} .## But don't you think this assumption is somewhat doubtful and wrong?
View full post »

Similar threads

Proving convergence and divergence of series
  • · Replies 3 ·
Replies
3
Views
1K
Ratio Test vs AST
  • · Replies 4 ·
Replies
4
Views
1K
Series investigation: divergence/convergence
  • · Replies 8 ·
Replies
8
Views
2K
Root test proof using Law of Algebra
  • · Replies 6 ·
Replies
6
Views
2K
Proving convergence of rational sequence
  • · Replies 2 ·
Replies
2
Views
2K
Determining if a series converges
  • · Replies 4 ·
Replies
4
Views
2K
Studying the convergence of a series with an arctangent of a partial sum
  • · Replies 7 ·
Replies
7
Views
2K
Converging Vs diverging sequences
  • · Replies 4 ·
Replies
4
Views
2K
Show function series involving arctan is not differentiable at x=0
  • · Replies 26 ·
Replies
26
Views
2K
Intervals of Convergence- Power Series
  • · Replies 11 ·
Replies
11
Views
3K