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Taylor Series
Problems
Introduction and Summary
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Approximating Functions With Polynomials
Problems
The Remainder Term
Problems
Some Common Taylor Series
Problems
Differentiation and Integration of Power Series
Problems
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Some Common Taylor Series
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Differentiation and Integration of Power Series
The Taylor Series
Problems
Problem 3.1:
Compute the Taylor polynomial at
0
of degree
3
for
f
(
x
) = sin(
e
x
)
.
Solution for Problem 3.1
Problem 3.2:
Approximate
log(0.8)
using the Taylor polynomial of degree
3
at
x
= 1
for
log(
x
)
.
Solution for Problem 3.2
Problem 3.3:
Find the Taylor series for
sin(
x
) + cos(
x
)
.
Solution for Problem 3.3
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Some Common Taylor Series
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Differentiation and Integration of Power Series
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