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85 Answered Questions for the topic Series

Find the Maclaurin series

Find the terms through degree five of the Maclaurin series for 𝑓(𝑥)=11sin(𝑥)cos(𝑥).

Find the Maclaurin series

Find  in the Maclaurin series ∑ n=0 ∞ an for ƒ(x) = 2x6 cos (x9) and find the interval on which the expansion is valid.
Series Geometry

06/30/20

Geometric Series ?

Find a_10 if a_3=135 and r=1/3

06/23/20

sum of the series \sum_(n=1)^(\infty ) ((1)/(\root(n)(2))-(1)/(\root(n+1)(2)))

how do i find the sum of this series \sum_(n=1)^(\infty ) ((1)/(\root(n)(2))-(1)/(\root(n+1)(2)))
Series Math Calculus

05/27/20

Determine whether this series is a convergent or divergent. ∑ n=1∞ [(n + 1)!]2 /(2n + 2)!

Determine whether this series is a convergent or divergent.∑ n=1∞ [(n + 1)!]2 /(2n + 2)!PLEASE SOLVE THIS PROBLEM WITH STEPS
Series Math Calculus

05/27/20

Determine whether this series is a convergent or divergent.

Determine whether this series is a convergent or divergent. ∑ n=1∞ 1 /(n + n cos2n) PLEASE SOLVE THE PROBLEM WITH STEPS
Series Math Calculus

04/08/20

Determine if the series is absolutely convergent, conditionally convergent, or divergent.sum of n=1 to infinity of (n+2)/sqrt (n^5-n+1)

NEED ASAP!! please provide step by step solution and answers. Thank you.
Series Math Calculus

04/08/20

determine whether the series is absolutely convergent, conditionally convergent or divergent. If it converges, estimate the remainder r10.

sum of {n=1} to infinity of (-1)^n ((n^2)/sqrt(n^5+n+1))NEED ASAP!! please provide step by step solution and answers. Thank you!

03/08/20

Determine whether the sequence is convergent or divergent. If it is convergent, find the limit: an=sin^3((-1)^n(n^-2))

Please help! Need answer ASAP! Please answer with step by step explanation. Thank you.
Series Math Algebra 1

02/18/20

In Sequence/Series what is the current term and what is the previous term?

If a1 is the 1st term, is this considered the previous term? and a^n-l the current term?Sequence/Series is Aritemetric and Geometric.

09/11/19

|x+2|-|x-1|<x-3/2

09/09/19

Sequence/ number series

How do you solve number series or sequence where the values alternate between adding a number and subtracting a number?For example: Find the 30th term in the sequence.6,2,7,3,8,4,9..Notice the... more
Series Writing Genre

07/16/19

Series: How can I get my reader to not expect any one genre?

**Background:** I'm planning on writing an extensive series of fantasy books. I plan on writing quite a few of these books, and while they'll all be set on the same planet, I intend them to center... more
Series Writing Novel

07/12/19

How can I Switch Protagonists Between Books?

*Disclaimer: I am not intending on doing this. It is just a question I thought was fascinating and might be useful to other writers.* Here's the scenario. You're writing a series of novels. After... more
Series Writing Plot

06/25/19

What techniques are used to plot long (multi-novel) story arcs?

As a very visual person, I have always considered plotting a story to be somewhat like knitting or macrame. How do series authors handle multi novel story arcs? Do they just keep throwing out... more

05/05/19

I want to find the exact sum of the power series.

I have the power series (n3^n-1)/(2^2n) going from 1 to infinity. How do I find the exact value for the series. I believe that we just use a power series function that we already know and based off... more
Series Math Calculus

04/26/19

Find the Maclaurin series for f(x) = cos(x^2) and use it to determine f^ (8)(0).

Find the Maclaurin series for f(x) = cos(x2)and use it to determine f (8)(0).
Series Math Calculus

04/26/19

Find the Taylor series for f(x) centered at c.

f(x) = 1/3x-2 , c = -6

04/26/19

Find the Taylor series for f(x) centered at c.

f(x) = e3x,    c = −9

04/26/19

Find the Taylor Series expansion up to degree three of....

sqrt(2+x) about a=2

04/08/19

Writing a trilogy and editing?

I planned out to write a trilogy and the first draft of book one is now completed. I want to know if I should edit this draft before starting on the second book.

04/03/19

Find the sum of the infinite series below.

1/3*7 + 1/7*11 + 1/11*15 + 1/15*19 ...

03/08/19

if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.

if f0(x)=1/(2-x) and fn+1(x)= f0(fn(x)) for n= 0,1,2,....., find an expression for fn(x) and use mathematical induction to prove it.I really have no idea.
Series Root Test

11/30/18

Determine the convergence of the series from n=4 to ∞ of [1+(1/n)]^-n^2

We need to use the root test to answer this question.
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