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# Math Choice Questions

Section 11.5
Level: Easy

In the statement of
the Ratio test we
conclude the series converges if Which of the
following is equal
to (n + 1)! We can simplify to Section 11.6
Level: Easy

We can rearrange
terms in a series
which does not
converge absolutely
so that the value of
the series
equals
two different
values.

A True
B False

The series converges
absolutely

A True
B False

The series converges

A True
B False

Section N4
Level: Easy

To compute the
interval of
convergence for a
power series you
use

A Integral Test
B Ratio Test
C Comparison Test
D Root Test

To express as a
power series our
first step is

A Differentiate
B Integrate
C Partial fractions

To express as a
power series our
first step is

A Integrate

B Partial Fractions
C Differentiate

Which of the
following is not a
power series? To express ln(1 + x)
as a power series
our first step is

A Partial fractions
B Integrate
C Differentiate

To express atan(x)
as a power series
our first step is

A Partial fractions
B Integrate
C Differentiate

To express x as a
power series our
first step is

A Partial fractions
B Integrate
C Differentiate

To express as a power series
our first step is

A Partial fractions
B Integrate
C Differentiate

Section 11.8
Level: Easy

If what is f(0) The Taylor series for
f(x) centered at x=0
is A True
B False

Section 11.8
Level: Hard then  What is the
coefficient of in
the Taylor series for about a=0 Section 11.8
Level: Easy

A function f has the
following Taylor Section 11.8
Level: Hard

Let be the fifth-degree
Taylor polynomial
for the function f
the value of  Section 11.8
Level: Easy

The interval of
convergence for
sin(x) is The interval of
convergence for Section 11.9
Level: Easy

What is the power
series for sin(3x) What is the power
series for  Section 11.9
Level: Hard

What is the power
series for sin(x) - x Section 11.9
Level: Easy is a
power series for  is a
power series for If lf'(t)l < 1,
lf''(t)l < 2 and
lf'''(t)l < 3 for t
with lt - 1l < 2 give
the bound on on the
interval [-1, 3] Section 11.9
Level: Hard

Which function is
larger for small x
(x < 1) by looking
at the first few
terms of their Taylor
Series Which function is
larger for small x
(x < 1) by looking
at the first few
terms of their Taylor
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