Question

write the sum of the series as a function of x http://puu.sh/fIufn/893b76b113.png

Answer 1

you want a guess i would say \(e^{-3x}\)

Answer 2

how?

Answer 3

bad guess nvm

Answer 4

without the \(3n\) i.e .with just \(n\) it would be \(e^{-x}\)

Answer 5

lol i am an idiot

Answer 6

law of exponents, try
\[e^{-x^2}\]

Answer 7

make that
\[e^{-x^3}\]

Answer 8

starting with knowing that
\[e^x=\sum\frac{x^n}{n!}\]so
\[e^{-x}=\sum\frac{(-x)^n}{n!}\]