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Which of the following is the coefficient for x^8 in the MacLaurin series for t…
Related Topics
Wize University Calculus 2 Textbook > Power Series
Taylor and Maclaurin Series
7 Activities
Which of the following is the coefficient for
x
8
x^8
x
8
in the MacLaurin series for the function
f
(
x
)
=
cos
(
5
x
)
f(x) = \cos(5x)
f
(
x
)
=
cos
(
5
x
)
?
5
8
8
!
\frac{5^8}{8!}
8
!
5
8
5
8
5^8
5
8
5
6
6
!
\frac{5^6}{6!}
6
!
5
6
−
5
8
8
!
- \frac{5^8}{8!}
−
8
!
5
8
−
5
6
6
!
-\frac{5^6}{6!}
−
6
!
5
6
I don't know
Check Submission
More Taylor and Maclaurin Series Questions:
Practice: Taylor Series
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.
Practice: Taylor Series
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.
Practice: Taylor Series
Practice Question
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.
Practice: Taylor Series
Practice Question
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.
Practice: Taylor Series
Practice Question
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.
Practice: Taylor Series
Practice Question
Find the Taylor series representation for
f
(
x
)
=
1
1
+
2
x
f(x)=\frac{1}{1+2x}
f
(
x
)
=
1
+
2
x
1
about
c
=
−
2
c=-2
c
=
−
2
. Then, state the radius of convergence.