Spring 2008, math3321 Exam 1 Dr. Taixi Xu Department of Math, SPSU
Math 3321 Exam 1
Name: Score: / 100
Show all your work for credits or partial credits.
1. (15 points) Prove that the function is uniformly continuous on the given set by directly
verifying the
property in the definition of uniformly continuity.
]5,2[,)(
2
xxf
2. (15 points) Determine which of the following continuous functions are uniformly
continuous on the given set. Justify your answer.
a)
)1,0(
1
sin)( on
x
xxf
b)
)1,0(
1
)(
2
on
x
xf
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