MATH 3210 § 2
TENTH HOMEWORK ASSIGNMENT
Due Friday,
A. Treibergs
November 12, 2004
Please hand in the following exercises from the text "An Introduction to Analysis, Third Edition" by William Wade, Prentice Hall, 2004.
83[ 1c, 2d, 4 ]
90[ 1b, 2 ]
Please hand in the following additional exercise.
Suppose that
f :
R
-->
R
is differentiable at
c
and that
f'(c) ≠ 0
. Show that there is a
ß > 0
so that
0 < |x-c| < ß
implies
f(x) ≠ f(c)
.