Question

sum of series n!x^n
converge or diverge?

Answer 1

\[\sum n!x^n\]

Answer 2

dont i use the root test?

Answer 3

seems pretty unlikely that this would converge for any value of \(x\) except \(x=0\) since \(n!\) grows really fast really quickly

Answer 4

but dont i need to use any test or the problem will just converge for any x?

Answer 5

no i meant it does not converge for any \(x\)

Answer 6

ah. i c