Limits: True of False: If lim[]x-->2]f(x) = L > 0, then....

[Belle]

On my homework there is a list of statements and it asks you to decide if they are true of false and give an explanation. I'm having a lot of trouble figuring out what this statement is saying. Any help would be much appreciated!!

If lim[sub:2fiblr8e]x-->2[/sub:2fiblr8e]f(x) = L > 0, then f(x) < 1.0001 times L for all x in some interval containing 2.

Thank you!

 

[Deleted member 4993]

On my homework there is a list of statements and it asks you to decide if they are true of false and give an explanation. I'm having a lot of trouble figuring out what this statement is saying. Any help would be much appreciated!!

If lim[sub:3d1dlwsn]x-->2[/sub:3d1dlwsn]f(x) = L > 0, then f(x) < 1.0001 times L for all x in some interval containing 2.

Thank you!

This statement is trying to probe your understanding of limits and continuity.

Have you covered "delta-epsilon" method of limits (I believe it is formally called Cauchy's limit theorem)

 

[Belle]

I finally found a friend who explained it using the delta-epsilon method. But my calc teacher NEVER taught us this. Honestly I had never before used the lowercase delta before. So basically my calc teacher is really bad about teaching.

 

[Deleted member 4993]

May be not. May be s/he is hoping that you would investigate and start a discussion in the class. Good teachers generally encourage people to teach themselves.