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Stewart_Calc_7ET ch11sec10
MULTIPLE CHOICE
1. Find the Maclaurin series for f (x) using the definition of the Maclaurin series.
a.
b.
c.
d.
e.
2. Use series to approximate the definite integral to within the indicated accuracy.
a.
0.0354
b.
0.0125
c.
0.0625
d.
0.1447
e.
0.2774
3. Use series to evaluate the limit correct to three decimal places.
Select the correct answer.
a.
118.933
b.
114.133
c.
34.3233
d.
114.333
e.
115.933
4. Use the binomial series to expand the function as a power series. Find the radius of
convergence.
a.
b.
c.
d.
e.
5. Use multiplication or division of power series to find the first three nonzero terms in the
Maclaurin series for the function.
a.
b.
c.
d.
e.
6. Evaluate the indefinite integral as a power series.
a.
b.
c.
d.
e.
NUMERIC RESPONSE
1. Find a power series representation for the function and determine the radius of convergence.
2. Find the Maclaurin series for f and its radius of convergence.
3. Find the Maclaurin series for using the definition of a Maclaurin serires.
4. Use the binomial series to expand the function as a power series. Find the radius of
convergence.
5. Find the Taylor series for centered at the given value of a. Assume that f has a power
series expansion. Also find the associated radius of convergence.
6. Evaluate the indefinite integral as an infinite series.
7. Find the sum of the series.
