1.a | Starting from the geometric series Σ₁ x" n=0 determine the Maclaurin series for A(x) = I Caution: quoting the "known" Maclaurin series here will not earn credit. 1.b Use the Maclaurin series for A(x) to determine the integer p so that the following sentence is true: V3.arctan 7 2√3 Furthermore, determine whether "The value = ㅠ 2√3 1-x arctanr for 1
1.a | Starting from the geometric series Σ₁ x" n=0 determine the Maclaurin series for A(x) = I Caution: quoting the "known" Maclaurin series here will not earn credit. 1.b Use the Maclaurin series for A(x) to determine the integer p so that the following sentence is true: V3.arctan 7 2√3 Furthermore, determine whether "The value = ㅠ 2√3 1-x arctanr for 1
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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Transcribed Image Text:1.a Starting from the geometric series
"The value
ㅠ
2√3
x'
ㅠ
Furthermore, determine whether
2√3
First step: use A(x) to express π/2√//3
1
n=0
determine the Maclaurin series for A(x) =
X
Caution: quoting the "known" Maclaurin series here will not earn credit.
1.b Use the Maclaurin series for A(z) to determine the integer p so that the following sentence is true:
V3.arctan
for −1 < x < 1, use power series operations to
I
1
arctanr
1
(-)
is closer to
as a series.
or
is strictly between and
9
P+1
9
P+1
9
22
(p)
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