#3. C and D. Thanks. 3. For each of the following sequences, find the limit points. For each limit point find a subse-quence that converges to it.(-1)"n+3a anb a, = (-1)" + „tiс а, sin=n (1 + (-1)")

As given by the question There are given that the sequences: an=sinnπ4 Now, From the properties of…

Answered: c an sin d an = n (1 +(-1)")

Math

Advanced Math

c an sin d an = n (1 +(-1)")

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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Question

#3. C and D. Thanks.

3. For each of the following sequences, find the limit points. For each limit point find a subse-
quence that converges to it.
(-1)"
n+3
a an
b a, = (-1)" + „ti
с а, sin
=n (1 + (-1)")

Expert Solution

Part (c)

As given by the question

There are given that the sequences:

$a_{n} = \sin \frac{n π}{4}$

Now,

From the properties of the sinusoidal:

$|\sin (\frac{n π}{4})| ⩽ 1$

Step by step

Solved in 7 steps

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