Math 125 Spring 2016 Quiz 4 NAME:

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Math 125 Spring 2016 Quiz 4
NAME:
Show all of your work and organize all of your steps otherwise you will not receive full/partial credit.
> 0 such that for all x satisfying 0 < |x
1. Give a value
holds.
Let f (x) = 3x
7;
L=
4;
c = 1;
c| <
the inequality |f (x)
L| < ✏
✏ = .3
2. Prove the limit statement. That is, for all ✏ > 0, find a > 0 (depending on epsilon), such
that, for all x satisfying 0 < |x c| < the inequality |f (x) L| < ✏ holds.
lim (3x
x!3
7) = 2
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