Larson_Calculus_10e ch09sec10
MULTIPLE CHOICE
1. Use the definition to find the Taylor series (centered at c) for the function.
a.
b.
c.
d.
e.
2. Use the definition to find the Taylor series centered at for the function .
a.
b.
c.
d.
e.
3. Use the definition to find the Taylor series centered at for the function .
a.
b.
c.
d.
e.
4. Use the definition to find the Taylor series (centered at c) for the function.
a.
b.
c.
d.
e.
5. Use the definition to find the Taylor series centered at for the function .
a.
b.
c.
d.
e.
6. Use the binomial series to find the Maclaurian series for the function .
a.
b.
c.
d.
e.
7. Use the binomial series to find the Maclaurian series for the function .
a.
b.
c.
d.
e.
8. Use the binomial series to find the Maclaurin series for the function.
a.
b.
c.
d.
e.
9. Find the Maclaurian series for the function .
a.
b.
c.
d.
e.
10. Find the Maclaurian series for the function .
a.
b.
c.
d.
e.
11. Find the Maclaurin series for the function .
a.
b.
c.
d.
e.
12. Use a power series to approximate the value of the integral with an error of less than 0.01.
Round your answer to two decimal places.
a.
0.81
b.
0.74
c.
0.89
d.
0.88
e.
0.84
13. Use a power series to approximate the value of the integral with an error less than
0.001. Round your answer to four decimal places.
a.
0.1925
b.
0.1700
c.
0.1813
d.
0.1933
e.
0.1817
14. Evaluate using the formula where k is a real
number, n is a positive integer, and .
a.
31
b.
45
c.
56
d.
21
e.
35
15. Use the definition to find the Taylor series centered at for the function .
a.
b.
c.
d.
e.
