- #1

highmath

- 36

- 0

**always**?

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

In summary, if you have a function that is increasing at a given point in space, then you can use calculus to find the limit of the function as x goes to infinity.

- #1

highmath

- 36

- 0

Mathematics news on Phys.org

- #2

HOI

- 921

- 2

So the function is "increasing" or "decreasing". But I have no idea what "in infinity" means. In Calculus, "infinity" is not a number- it makes no sense to talk about the value of a function, or any property of a function "in infinity" or "at infinity". We can talk about thehighmath said:always?

The most we can say here is that, if a function is increasing, then its limit as x goes to infinity is larger than or equal to any value of the function. If the function is decreasing then its limit as x goes to infinity is less than or equal to any value of the function.

If you are thinking that the limit, as x goes to infinity, of an increasing function must be infinity, that is incorrect. For example, if f(x)= (x- 1)/x= 1- 1/x then f(x) is increasing and the limit as x goes to infinity is 1.

- #3

highmath

- 36

- 0

If I know that x goes to infinity, so how can I know how theCountry Boy said:function "as x goes to infinity".

.

What the limit help me for?

- #4

HOI

- 921

- 2

First, you will have to tell us what **you** mean by "function pattern".

- #5

highmath

- 36

- 0

So the question is the number theory.

o. k. I will continue with it.

(1)

What axioms I need to prove it?

By what can I use to show that the function is depend on Number Theory?

If I err tell me.

(2)

Is There a calculus way to prove it?

by what means in general?

- #6

HOI

- 921

- 2

Calculus is a branch of mathematics that deals with the study of change and motion. It is used to analyze and model continuous change in various systems, such as in physics, engineering, economics, and other fields.

In calculus, infinity refers to the concept of a limit, where a function or sequence approaches a value that is infinitely large or infinitely small. It is used to describe the behavior of a function as its input approaches a certain value.

Infinity is used in functions to describe the behavior of the function at certain points or as the input approaches a certain value. It can also be used to determine the end behavior of a function, whether it approaches a finite value or goes to infinity.

Limits refer to the value that a function or sequence approaches as its input approaches a certain value, while infinity refers to the behavior of the function at that point or as the input approaches a certain value. Limits can approach either a finite value or infinity, while infinity is always a concept of an infinitely large or small value.

Calculus allows us to understand the behavior of functions as they approach infinity, whether it is in terms of growth, decay, or oscillation. It also helps us to determine the limits of functions and their end behavior, which can be crucial in solving real-world problems and making predictions.

- Replies
- 40

- Views
- 4K

- Replies
- 2

- Views
- 1K

- Replies
- 20

- Views
- 2K

- Replies
- 31

- Views
- 2K

- Replies
- 7

- Views
- 2K

- Replies
- 22

- Views
- 3K

- Replies
- 26

- Views
- 3K

- Replies
- 11

- Views
- 1K

- Replies
- 2

- Views
- 1K

- Replies
- 2

- Views
- 731

Share: