What Are the Practical Implications of Limits in Scientific Research?

  • Context: Undergrad 
  • Thread starter Thread starter DC.Shivananda
  • Start date Start date
  • Tags Tags
    Practical
Click For Summary
SUMMARY

The discussion focuses on the concept of limits in scientific research, specifically their practical implications. A limit is defined as the value that a function approaches, illustrated through the example of weightlifting, where an individual reaches a maximum lifting capacity. The conversation highlights that exceeding this limit necessitates a reduction in weight to find the maximum achievable amount. Additionally, the practical application of limits is emphasized in the context of derivatives, which are fundamental in calculus.

PREREQUISITES
  • Understanding of basic calculus concepts, particularly limits.
  • Familiarity with derivatives and their applications in mathematics.
  • Knowledge of function behavior as it approaches specific values.
  • Basic principles of weightlifting and physical limits.
NEXT STEPS
  • Study the formal definition of limits in calculus.
  • Explore the relationship between limits and derivatives in mathematical analysis.
  • Investigate real-world applications of limits in various scientific fields.
  • Learn about graphical representations of limits and their significance.
USEFUL FOR

Students of mathematics, researchers in scientific fields, and fitness enthusiasts looking to understand the concept of limits in both theoretical and practical contexts.

DC.Shivananda
Messages
6
Reaction score
0
Hi can you please tell me the practical meaning of LIMITS...?
 
Physics news on Phys.org
DC.Shivananda said:
Hi can you please tell me the practical meaning of LIMITS...?

not sure what you mean
 
I think he means an easy explanation for them. A limit is a value that a function approaches.

For example, you are lifting weights one day and you decide to increase the weights at small increments. Eventually you will approach a maximum amount of weight or what you may call your limit. If you go over that limit, you may decide to decrease weights in small increments until you reach the most weight that you can lift.

So limits would be like the actual max amount of pounds you can lift.
I hope this is precise and concise enough to help and give you a full understanding.

This graph shows a limit as x approaches infinity. It's limit is whatever L is:
220px-Limit-at-infinity-graph.png


Now, one major practical use of limits are derivates.
 
thank u...
 

Similar threads

Undergrad Establishing Limits for x in Green's Theorem Practice Questions
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad To What Extent Can You Manipulate Limits?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Why is the derivative defined as the limit of the quotient?
  • · Replies 13 ·
Replies
13
Views
2K
Undergrad What's my mistake in this integration problem?
  • · Replies 8 ·
Replies
8
Views
3K
Undergrad Understanding Limits: Practical Examples & Discontinuity
  • · Replies 1 ·
Replies
1
Views
2K
Graduate Questionable research practices in Nuclear Fusion
  • · Replies 1 ·
Replies
1
Views
3K
Undergrad Calculate limits as distributions
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad What does "the sequence of functions has limit in R" mean?
  • · Replies 1 ·
Replies
1
Views
1K
MHB How Do You Prove Limits at Infinity?
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Showing that a multivariable limit does not exist
  • · Replies 3 ·
Replies
3
Views
5K