IB Mathematics Analysis and Approaches Quiz
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FUNCTIONS
Question 1
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Consider the sequence given by
u
1
=
1
u_1=1
u
1
=
1
and
u
n
+
1
=
u
n
+
1
u
n
u_{n+1} = u_n + \frac{1}{u_n}
u
n
+
1
=
u
n
+
u
n
1
for
n
≥
1
n \ge 1
n
≥
1
. Which statement best describes the behavior of this sequence?
A
It converges to 0.
B
It converges to a finite positive limit.
C
It is periodic.
D
It diverges to infinity.
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