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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

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
Series

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