The operative phrase here is "don't exactly understand how it works."omlatte1 said:It it? I think many other people like me who don't exactly understand how it works would phrase the question in a similar manner, hence the quotes for constant.
But none of that has anything to do with the limit you posted, in which A is changing. That's what ##lim_{A \to \infty} <something>## means. If something is changing, it is NOT constant.omlatte1 said:A is what I said was constant,and it is, with respect to the transform of the original rectangle function, others in this thread have quoted x as being constant.
If you take a derivative or partial derivative of some expression with respect to A, the clear implication is that A is changing (not constant), and any other quantities are held fixed.omlatte1 said:This also is valid when speaking of l'hopitals rule in part because the partial derivative of sinc with respect to A was taken.
It shouldn't be confusing if you read (and quoted) all of what I said.omlatte1 said:Also you write: "A is what is changing, not x" then "I don't believe you would be fooled into thinking x is a constant"
a confusing post at best.
You are completely misreading what I said. I did not say or imply or suggest in any way that you were making purposely false statements. Period.omlatte1 said:By the way do not assume what you think I know and whether or not I am making true or purposely false statements with respect to semantics.
My post does nothing of the kind, and I don't see how you can possibly infer that.omlatte1 said:Your post implies I am lying and is completely beyond the limits of your purpose in this forum.
He said that in post 10 in which x was held constant and A was "going to infinity".omlatte1 said:A is what I said was constant,and it is, with respect to the transform of the original rectangle function, others in this thread have quoted x as being constant. This also is valid when speaking of l'hopitals rule in part because the partial derivative of sinc with respect to A was taken.
Also you write: "A is what is changing, not x"
He said that in post 12 where he had given a different examplethen "I don't believe you would be fooled into thinking x is a constant"
It would have been if if it had been a single post- but it wasn't, it was two different posts saying different things.a confusing post at best.
We can only assume you know what you say. Mark44 was correcting your use of a word and trying to clarify for others. I cannot imagine how you think that implies you were "lying". It only implies that you were mistaken.By the way do not assume what you think I know and whether or not I am making true or purposely false statements with respect to semantics. Your post implies I am lying and is completely beyond the limits of your purpose in this forum. Keep it to yourself.
The concept refers to the behavior of a function as the value of a constant variable approaches infinity. In other words, it is the value that a function approaches as its input variable becomes larger and larger.
This concept is used in various fields of science, such as physics, chemistry, and engineering, to model and analyze real-world phenomena. It helps in understanding the behavior of systems that involve continuously increasing or decreasing variables.
A finite limit means that the value of the function approaches a specific value as the input variable approaches a certain value. An infinite limit means that the value of the function becomes infinitely large or small as the input variable approaches a certain value.
Yes, a function can have different limits as the input variable approaches different values. This is known as a two-sided limit, where the function approaches different values depending on whether the input variable approaches from the left or the right side.
To determine the limit as 'constant' approaches infinity, we can use various methods, such as substitution, factoring, and L'Hôpital's rule. We can also use a graph or a table to visualize the behavior of the function as the input variable increases towards infinity.