Question

Find the sum of the following series:
\[1 - \frac{\ln \pi}{1!} + \frac{\ln^{2}\pi}{2!} - \frac{\ln^{3}\pi}{3!} + ...\]

Answer 1

from did u get this question bcoz same was in purdue?

Answer 2

i got it as a bonus question from my exam earlier.

Answer 3

then u must be in college....

Answer 4

well... yeah

Answer 5

this sereis converges, bt how to find the sum?

Answer 6

See if you can make progress with definition 2
http://en.wikipedia.org/wiki/Characterizations_of_the_exponential_function

Answer 7

then the answer is e^(ln pi)
right?

Answer 8

nope.

Answer 9

e^(-ln pi) is correrct?

Answer 10

which is?

Answer 11

lol

Answer 12

Final Answer 0.3183098862..

Answer 13

\[e^{-\ln(\pi)}=\frac{1}{\pi}\] maybe

Answer 14

yep \[0.3183098862.. = \frac{1}{\pi}\]

Answer 15

Then I made it..

Answer 16

XD

Answer 17

you have any other ques. like this?