Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.3: Geometric Sequences
Problem 44E
Related questions
Question
How do I find the sum of the series for a and b? What is the best way to approach this answer in steps and what is the best way to go about any problems similar to this? How do I use the Maclaurin Series help table my teacher gave me to my advantage.
Thank you.
Transcribed Image Text:Series – Worksheet
Use a Maclaurin series given in the following table to solve the problem
given in this worksheet.
1
Ex" = 1 + x + x² + x³ +
R = 1
..
- X
n=0
x"
e* = E
n=0_n!
x²
+
2!
1 +
R = ∞
||
1!
3!
x2n+1
x
x7
sin x
E(-1)".
R = 0
= r
(2n + 1)!
3!
5!
7!
n=0
00
2n
x*
E(-1)":
1
2!
cos x =
R = 0
n=0
(2n)!
4!
6!
x'
+
7
x2n+1
tan-'x = E(-1)" -
2n + 1
R = 1
3
5
n=0
x?
x*
In(1 + x) = E(-1)"-1
R = 1
= X
+...
-
n
3
4
n=1
k(k – 1)
-x² +
2!
(1 + x)* = E
k
x" = 1 + kx +
k(k – 1)(k – 2)
-x' + · · ·
R = 1
3!
n=0
+
+
Transcribed Image Text:2. Find the sum of the series.
Ln=o(-1)n **
а.
n!
(-1)"n²n
b. 2n=0 62n (2n)!
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