Limit notation question

  • #1

Main Question or Discussion Point

Limh→0+ (f(rh,h))/h
Is the f(rh,h) part the same as f(r+h)-f(h)? I have never seen this before and googling for a long time didn't help, there are no videos with this notation and it's not in my book so, am I just to assume it is? because it doesn't look like it should be the same.

Anyone know what f(rh,h) means? :)
 

Answers and Replies

  • #2
Math_QED
Science Advisor
Homework Helper
2019 Award
1,389
513
Limh→0+ (f(rh,h))/h
Is the f(rh,h) part the same as f(r+h)-f(h)? I have never seen this before and googling for a long time didn't help, there are no videos with this notation and it's not in my book so, am I just to assume it is? because it doesn't look like it should be the same.

Anyone know what f(rh,h) means? :)
Is f a function of 2 variables?
 
  • #3
Is f a function of 2 variables?
Yes it is, how did you know? :P
 
  • #4
Math_QED
Science Advisor
Homework Helper
2019 Award
1,389
513
Yes it is, how did you know? :P
The notation suggested it.

The limit in your question is simply

##\lim_{h \to 0+} \frac{f(rh,h)}{h}##

This means that you evaluate ##f## in the point ##(rh,h)## and then take the limit after dividing the result by h.
 
  • #5
The notation suggested it.

The limit in your question is simply

##\lim_{h \to 0+} \frac{f(rh,h)}{h}##

This means that you evaluate ##f## in the point ##(rh,h)## and then take the limit after dividing the result by h.
Oh it was this simple. I was afraid to get guess but thanks really helped me :)
 

Related Threads for: Limit notation question

Replies
5
Views
2K
Replies
5
Views
2K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
1K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
1
Views
803
  • Last Post
Replies
3
Views
1K
Top