Honors Calculus I
Quiz 1
1.
Let
R
be the real numbers.
Determine whether the following sets
S
!
R
have a
least upper bound.
If so, what is the least upper bound of the set.
(a)
S
=
[0,
5
]
(b)
S
=
1
!
n
=
1,2,
…
{ }
(c)
S
=
1
+
n
=
1,2,
…
{ }
(d)
S
=
R
2.
Show that
1
2
n
n
=
1
!
"
converges to a number.
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This note was uploaded on 07/14/2011 for the course MAC 3472 taught by Professor Jury during the Spring '07 term at University of Florida.
 Spring '07
 JURY
 Calculus, Real Numbers, Sets

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