- #1
djh101
- 160
- 5
Homework Statement
Prove the limit. I'm not entirely sure how to prove limits, the book doesn't go into much detail.
Homework Equations
Lim x→9 √(x-5) = 2
The Attempt at a Solution
Prove |x - 9| < δ
|√(x-5) - 2| < ε
2 - ε < √(x - 5) < 2 + ε
ε2 - 4ε + 4 < x - 5 < ε2 + 4ε + 4
ε2 - 4ε < x - 9 < ε2 + 4ε
δ = ε2 + 4ε