Differentiating and integrating power series Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. 44. g ( x ) = x ( 1 + x 2 ) 2 using f ( x ) = 1 1 + x 2
Differentiating and integrating power series Find the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series. 44. g ( x ) = x ( 1 + x 2 ) 2 using f ( x ) = 1 1 + x 2
Solution Summary: The author explains the power series representation for g centered at 0 and finds the interval of convergence.
Differentiating and integrating power seriesFind the power series representation for g centered at 0 by differentiating or integrating the power series for f (perhaps more than once). Give the interval of convergence for the resulting series.
44.
g
(
x
)
=
x
(
1
+
x
2
)
2
using
f
(
x
)
=
1
1
+
x
2
Find a power series representation for the function. (Give your power series representation centered at x = 0.)
f(x) =
1
12 + x
Determine the interval of convergence. (Enter your answer using interval notation.)
Find a power series representation for the function cot^-1 x. Find the radius of the convergence and the interval of convergence for your series
Find a power series representation for the function.
Determine the interval of convergence.
f(x) = 1/(6+x)
Chapter 9 Solutions
Calculus: Early Transcendentals, Books a la Carte Plus MyLab Math/MyLab Statistics Student Access Kit (2nd Edition)
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
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