Let {an} be a monotonic sequence of real numbers. If = a, and an+1 = a + which of the following is true for the limit of the sequence {a,}? Ban with a, 3 € Rt, aan +B (a) The limit is a + 3. a² + 3 (b) The limit is 3 (c) The limit does not exist. a + va? + 43 (d) The limit is a + Va? +B (e) The limit is 4

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let {an} be a monotonic sequence of real numbers. If
Ban
a1 = a, and an+1 = a +
with a, 8 E Rt,
aan +B
which of the following is true for the limit of the
sequence {a,}?
(a)
The limit is a + B.
a2 +B
(b)
The limit is
3
(c)
The limit does not exist.
a + Va? + 43
(d)
The limit is
2
a + Va? + B
(e)
The limit is
4
Transcribed Image Text:Let {an} be a monotonic sequence of real numbers. If Ban a1 = a, and an+1 = a + with a, 8 E Rt, aan +B which of the following is true for the limit of the sequence {a,}? (a) The limit is a + B. a2 +B (b) The limit is 3 (c) The limit does not exist. a + Va? + 43 (d) The limit is 2 a + Va? + B (e) The limit is 4
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