Section 11.4

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Section 11.4 Representing Functions with Power
Series
10.5
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1. Find the power series representation for

centered about x 0 and specify its radius of
convergence.
Infinite geometric with first term 1/3 and r
-2x/3
Converges when r lt 1
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8. Find the power series representation for
centered about x 0 and specify its radius of
convergence.
Radius of Convergence is 1
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• Use an appropriate identity to find the Maclaurin
  series
• for f(x) sin x cos x

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30. Given the function f defined by

• Find the first three nonzero terms in the
  Maclaurin
• series for the function f.

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30. Given the function f defined by
b. Find the first three terms in the Maclaurin
series for the
function g defined by
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30. Given the function f defined by
c. Find the first four terms in the Maclaurin
series for the
function h defined by
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Converges for all x
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