Allie C.

asked • 08/29/18

Consider the following limit. lim x→2 (3x + 2) Find the limit L.

Well I know that the limit L is equal to eight. I know I get 8 by plugging in the 2 into 3x+2, but then it asks me the following:
 
(a) Find δ > 0 such that |f(x) − L| < 0.01 whenever 0 < |x − c| < δ. (Round your answer to five decimal places.)
 
(b) Find δ > 0 such that |f(x) − L| < 0.005 whenever 0 < |x − c| < δ. (Round your answer to five decimal places.)
 
What is this trying to tell me to do? I am a very lost and would like to better understand the wording, or rather the lack of wording I can't decipher. Thank you! 
 

1 Expert Answer

By:

Mark M. answered • 08/29/18

Retired math prof. Calc 1, 2 and AP Calculus tutoring experience.

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.