Understanding Undefined Limits: The Truth About x=0 and Infinity

  • Thread starter Thread starter Checkfate
  • Start date Start date
  • Tags Tags
    Limit
Click For Summary
The discussion centers on evaluating limits, specifically the case when x approaches 0 and results in an undefined limit like 35/0. It is clarified that such a limit is indeed undefined and can be interpreted as approaching infinity, but it does not actually reach 0. Additionally, there is a separate inquiry about finding the coordinates of a point on the curve f(x)=3x^2-4x where the tangent is parallel to the line y=8x, with the slope of the tangent being 8. The participant seeks hints for solving this tangent problem. Overall, the conversation highlights confusion around limit definitions and tangent line calculations.
Checkfate
Messages
149
Reaction score
0
This question doesn't apply to any question I am working on, I am just trying to jog my memory.

If we are evaluating a limit and get the limit as x approaches 0 is 35/0 (for example!), the limit is still undefined correct? For some reason my mind is telling me it represents infinity... but I don't think this is right. lol.
 
Physics news on Phys.org
lol btw, title was supposed to read "SIMPLE limit question." :)
 
the limit is \infty, because you never actually hit 0. btw, are you m or f?
 
Male.

needed 10 characters.
 
Thanks for the help on 2 of my questions today, btw.
 
Limit question

Find the coordinates of the point on the curve f(x)=3x^2-4x, where the tangent is parallel to the line y=8x.


Ok i know the slope of the tangent is 8.

and i know the formula is m=[f(a+h)-f(a)]/h

i need a hint please
 
wrong thread.:confused:
 

Similar threads

  • · Replies 20 ·
Replies
20
Views
2K
  • · Replies 12 ·
Replies
12
Views
3K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 4 ·
Replies
4
Views
2K
  • · Replies 18 ·
Replies
18
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
  • · Replies 24 ·
Replies
24
Views
2K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 3 ·
Replies
3
Views
1K
Replies
15
Views
7K