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Return to Foundations of Science Mathematics 2e Student Resources
Chapter 6 Multiple choice questions
Taylor series
Quiz Content
*
not completed
.
Which of the following is
not
true about a Taylor series?
It is a polynomial approximation.
correct
incorrect
It is most accurate in the vicinity of a chosen point.
correct
incorrect
It is a special case of a Maclaurin series.
correct
incorrect
It should not be used outside its radius of convergence.
correct
incorrect
*
not completed
.
Which of the following is
not
true about a Maclaurin series?
The series for cos(
x
) can be derived from the series for sin(
x
).
correct
incorrect
The series for ln(1+
x
) converges for all
x
.
correct
incorrect
The series for e
^{x}
converges for all
x
.
correct
incorrect
The binomial expansion is a Taylor series.
correct
incorrect
*
not completed
.
What does tan(
x
) /
x
tend towards in the limit that
x
goes to 0?
0
correct
incorrect
1
correct
incorrect
It diverges to infinity.
correct
incorrect
None of the above.
correct
incorrect
*
not completed
.
How does
y
=
x
e
^{-}
^{x}
- sin(
x
) behave in the region around
x
=0?
y
≈ -
x
^{2}
correct
incorrect
y
≈-
x
correct
incorrect
y
≈
x
correct
incorrect
y
≈
x
^{2}
correct
incorrect
*
not completed
.
What does ln(
x
) / (1-
x)
tend towards in the limit that
x
goes to 1?
It diverges to infinity.
correct
incorrect
0
correct
incorrect
-1
correct
incorrect
None of the above.
correct
incorrect
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