Question IV) In the following, you are requested to compute Taylor/Maclaurin series directly from the formula f(b)(x-b)", that is, compute the first few derivatives necessary so as to find a pattern and n! express the power series using Sigma notation. You are not requested to check the convergence for this question. e +e 2 M=0 k=3 A) The hyperbolic cosine function is defined as cosh(x) = Compute its Maclaurin series.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.4: Series And Their Notations
Problem 10TI: Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+
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n=0 n
¡n²2"
m=1
Question IV)
In the following, you are requested to compute Taylor/Maclaurin series directly from the formula
00
f) (b)
(x-b)", that is, compute the first few derivatives necessary so as to find a pattern and
n!
A=0
express the power series using Sigma notation.
You are not requested to check the convergence for this question.
e +e'
2
A) The hyperbolic cosine function is defined as cosh(x) =
B) Compute the Taylor series centered at 2 for f(x)=
C) Compute the Taylor series centered at 1 for g(x)=
1
(1+2x)²
1
√2-x
D) ΣΤΡΟ
k=3
k Ink
.
Compute its Maclaurin series.
Transcribed Image Text:n=0 n ¡n²2" m=1 Question IV) In the following, you are requested to compute Taylor/Maclaurin series directly from the formula 00 f) (b) (x-b)", that is, compute the first few derivatives necessary so as to find a pattern and n! A=0 express the power series using Sigma notation. You are not requested to check the convergence for this question. e +e' 2 A) The hyperbolic cosine function is defined as cosh(x) = B) Compute the Taylor series centered at 2 for f(x)= C) Compute the Taylor series centered at 1 for g(x)= 1 (1+2x)² 1 √2-x D) ΣΤΡΟ k=3 k Ink . Compute its Maclaurin series.
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