Power Series: Taylor And Maclaurin Series 9.3 Worksheet - Calculus Maximus, Kevin W. Korpi Page 4

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Calculus Maximus
WS 9.3: Taylor Series
1
13. Let f be the function defined by
f x
( )
.
x
1
x  .
(a) Write the first four terms and the general term of the Taylor series expansion of
f x about
( )
2
(b) Use the result from part (a) to find the first four terms and the general term of the series expansion
x 
x 
about
2
for ln
1
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