# What is the sum of the series 1+ln2+(((ln2)^2)/(2!))+…+(((ln2)^2)/(n!))+…?

I think that should be
##1 + ln2+(ln2)^2/(2!)+ . . .+(ln2)^n/(n!)+ . . .##
if that is the case
Simply apply the Maclaurin Series

Don't use plagiarized sources. Get Your Custom Essay on
What is the sum of the series 1+ln2+(((ln2)^2)/(2!))+…+(((ln2)^2)/(n!))+…?
Just from \$13/Page

##e^x = 1 + x + x^2/(2!)+x^3/(3!) + . . .+x^n/(n!) + . . .##

then putting x = ln2 the sum is:

##e^ln2 = 2##

and if it is the real question apply algebraic manipulation

##1 + ln2+(ln2)^2/(2!)+ . . .+(ln2)^2/(n!)+ . . . = 1 +ln2 +(ln2)^2[1/(2!)+1/(3!) + . . .+1/(n!) + . . .]##

putting x = 1

##e^1 = 1+ 1+1/(2!) + 1/(3!)+ . . .+1/(n!) + . . . =e## then the expression:

##1/(2!)+1/(3!) + . . .+1/(n!) + . . .## can be written as

or equal to ##e – 2## so the sum of

##1 + ln2+(ln2)^2/(2!)+ . . .+(ln2)^2/(n!)+ . . . = 1 +ln2 +(ln2)^2[1/(2!)+1/(3!) + . . .+1/(n!) + . . .] = 1+ln2+(ln2)^2(e-2)##

NOte: i think you had a typographical error.. that should be n not 2.

## Calculate the price of your order

550 words
We'll send you the first draft for approval by September 11, 2018 at 10:52 AM
Total price:
\$26
The price is based on these factors:
Number of pages
Urgency
Basic features
• Free title page and bibliography
• Unlimited revisions
• Plagiarism-free guarantee
• Money-back guarantee
On-demand options
• Writer’s samples
• Part-by-part delivery
• Overnight delivery
• Copies of used sources
Paper format
• 275 words per page
• 12 pt Arial/Times New Roman
• Double line spacing
• Any citation style (APA, MLA, Chicago/Turabian, Harvard)

# Our guarantees

Delivering a high-quality product at a reasonable price is not enough anymore.
That’s why we have developed 5 beneficial guarantees that will make your experience with our service enjoyable, easy, and safe.

### Money-back guarantee

You have to be 100% sure of the quality of your product to give a money-back guarantee. This describes us perfectly. Make sure that this guarantee is totally transparent.

### Zero-plagiarism guarantee

Each paper is composed from scratch, according to your instructions. It is then checked by our plagiarism-detection software. There is no gap where plagiarism could squeeze in.

### Free-revision policy

Thanks to our free revisions, there is no way for you to be unsatisfied. We will work on your paper until you are completely happy with the result.