[See Solution] , Let a < b, and f : ]a , b[ . Assume f is continuous at X 0 ] a, b [ and f(X 0) > c for some number c . Prove that there is > 0 such that
Question: ,
Let a < b, and f : ]a , b[
. Assume f is continuous at X
0
] a, b [ and
f(X 0 ) > c
for some number c
. Prove that there is
> 0 such that
f(X) > c for all X
] X
0
–
, X
0
+
[
Hint: what would happen if, for every
> 0 there were
] X
0
–
, X
0
+
[ with
f(
)
c ??
Deliverable: Word Document 
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