- 5

- 0

## Main Question or Discussion Point

I was wondering what the name for "a" is in the following example.

The limit as x approaches

The limit as x approaches

__a__of (any function).- Thread starter Madeline
- Start date

- 5

- 0

I was wondering what the name for "a" is in the following example.

The limit as x approaches__a__ of (any function).

The limit as x approaches

James R

Science Advisor

Homework Helper

Gold Member

- 600

- 15

I don't think it has a specific name. Could be wrong, though.

JasonRox

Homework Helper

Gold Member

- 2,287

- 3

I don't know of any name for it either.

Galileo

Science Advisor

Homework Helper

- 1,989

- 6

It's called "the value that x approaches".... *duh* :tongue2:

jcsd

Science Advisor

Gold Member

- 2,085

- 11

"a" would be called "a point" as in "the limit of f at a point". Of course that's not a particualrly special name.Madeline said:I was wondering what the name for "a" is in the following example.

The limit as x approachesaof (any function).

- 5

- 0

- 5

- 0

Saying "point" almost implies that the limit is equal to the value of f at that point. At least that's what I think of. "A" isn't exactly a point, it's just a value in the domain.jcsd said:"a" would be called "a point" as in "the limit of f at a point". Of course that's not a particualrly special name.

jcsd

Science Advisor

Gold Member

- 2,085

- 11

There's reason for calling it a point, a limit requires that the domain (and the range) has more structure than a primitve concept of a set; the members of the mathematical structures we require are often called points. It may almost imply something to you, but it doesn't generally as it's standard usuage.Madeline said:Saying "point" almost implies that the limit is equal to the value of f at that point. At least that's what I think of. "A" isn't exactly a point, it's just a value in the domain.

ps a minor quibble: "a" needn't lie in the domain of some function "f" for the limit of "f" at "a" to exist.

mathwonk

Science Advisor

Homework Helper

- 10,743

- 919

I think it is usually named "Howard", but occasionally "Ozymandias".

- 5

- 0

I see, I didn't realize this was a standard term.jcsd said:There's reason for calling it a point, a limit requires that the domain (and the range) has more structure than a primitve concept of a set; the members of the mathematical structures we require are often called points. It may almost imply something to you, but it doesn't generally as it's standard usuage.

Oh yeah, I forgot about that :). I guess what I mean to say is that point implies that there is a "point" at "a" which would mean that a is in the domain of f. But you were right that if point is standard usage, then it doesn't really matter what it implies.ps a minor quibble: "a" needn't lie in the domain of some function "f" for the limit of "f" at "a" to exist.

- Last Post

- Replies
- 3

- Views
- 1K

- Last Post

- Replies
- 4

- Views
- 2K

- Last Post

- Replies
- 2

- Views
- 2K

- Replies
- 3

- Views
- 613

- Last Post

- Replies
- 4

- Views
- 1K

- Last Post

- Replies
- 1

- Views
- 1K

- Replies
- 18

- Views
- 678