Question

explain these questions
calc 2

Answer 1

\[\sum_{k=1}^{\inf}(\pi/e)^{-k}\]

Answer 2

@nincompoop

Answer 3

does that function converge why or why not?

Answer 4

it is a geometric series, a rather silly looking one, but a geometric one in any case

Answer 5

\[a+ar+ar^2+ar^3+...=\frac{a}{1-r}\] this converges because
\[\frac{\pi}{e}<1\]

Answer 6

not to be too pedantic, but is not a "function" it is a number

Answer 7

ya, i agree but it's past midnight here.

Answer 8

onto question 2 if you've got time.

Answer 9

LOL ... technically, not to be pedantic, it is an infinite series, whose sum is a number!

Answer 10

if L is a real number and \[\sum_{k=12}^{\inf}A ^{k} converges then \sum_{k=1}^{\inf}A ^{k}\]

Answer 11

if A is a real number*