ETBU General Electric and the Hudson River Cleanup Analysis Paper Tom Kennedy
MA 525
Hwk # 7
Question #1 Use the − δ definition to prove that f (x) = x4 is uniformly continous on (0,1).
(
x2 sin x( π2 ), x 6= 0
Question #2 Prove that f (x) =
is differentiable for all x ∈ R
0,
x=1
√
Question #3 Use Taylor’s Theorem with n = 2 to approximate 1.2 to within two decimal
places. Hint you should include
the value of P2 (0.2) and a bound for the remainder R2 (0.2).
n, if 0 ≤ x
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