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
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
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F338f485c-da23-434d-bb16-c5e801f8ef28%2F78963fd6-7706-4146-8b85-e14cd12312dd%2Fdk3iry_processed.jpeg&w=3840&q=75)
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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