- #1
zeion
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Homework Statement
Prove the following states directly using the formal e, d definition
[tex]
\lim_{x\rightarrow 8} \sqrt{x + 1} = 3
[/tex]
Homework Equations
The Attempt at a Solution
If 0 < |x-8| < d
Then 0 < sqrt((x+1) - 3) < e
Let e be given
3 < sqrt(x+1) < e + 3
9 < x + 1 < e2 + 6e + 9
0 < x - 8 < e2 + 6e
This suggests we choose d = e2 + 6e