Math Is Fun Forum

  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

You are not logged in.

#1 2009-11-03 01:29:51

Vercingetorix
Member
Registered: 2009-11-03
Posts: 21

Urgent Help Requested: Specific Epsilon Delta Proofs

Someone please help.

I am trying to prove the following two problems using the epsilon delta method: (|f(x) - L| < ∈ if 0 < |x - a| < δ)...

1.

The text arbitrarily allows δ = 1/6 and arrives at an answer of δ = min{1/6, ∈/18}.  I've done the work but can't arrive at this answer, can someone help?

2.

I don't know how to manipulate |SQRT(x)-2| into the form of |x-4| (< δ) AND arrive at the book's answer; δ = 2∈.

Please help!

Offline

Board footer

Powered by FluxBB