Question Number 184574 by Mastermind last updated on 09/Jan/23
$$\mathrm{Test}\:\mathrm{whether}\:\mathrm{this}\:\mathrm{is}\:\mathrm{Convergent}\:\mathrm{or} \\ $$$$\mathrm{Divergent} \\ $$$$\underset{\mathrm{n}=\mathrm{0}} {\overset{\infty} {\sum}}\left(−\mathrm{1}\right)^{\mathrm{n}} \frac{\mathrm{n}!\mathrm{x}^{\mathrm{n}} }{\mathrm{5n}} \\ $$$$ \\ $$$$\mathrm{Help}! \\ $$
Commented by mr W last updated on 08/Jan/23
$${Help}\:!! \\ $$$${your}\:{question}\:{is}\:{not}\:{clear}\:{respectively} \\ $$$${not}\:{complete}.\:{or}\:{can}\:{you}\:{understand} \\ $$$${what}\:{the}\:{question}\:{asks}? \\ $$$${i}\:{won}'{t}\:{ask}\:{for}\:{help}\:{if}\:{i}\:{don}'{t}\:{know} \\ $$$${for}\:{what}\:{i}\:{need}\:{help}. \\ $$
Commented by SEKRET last updated on 08/Jan/23
$$+++ \\ $$
Commented by Mastermind last updated on 08/Jan/23
$$\mathrm{Find}\:\mathrm{whether}\:\mathrm{it}\:\mathrm{is}\:\:\mathrm{CONVERGENT}\:\mathrm{or} \\ $$$$\mathrm{DIVERGENT}? \\ $$
Commented by mr W last updated on 08/Jan/23
$${please}\:{edit}\:{your}\:{question}\:{such}\:{that} \\ $$$${it}\:{is}\:{clear}\:{and}\:{complete}\:{as}\:{you}\:{mean} \\ $$$${and}\:{fix}\:{the}\:{typo}! \\ $$
Commented by mr W last updated on 09/Jan/23
$${the}\:{first}\:{term}\:{with}\:{n}=\mathrm{0}\:{is}\:\infty,\:{so}\:{it}\:{is} \\ $$$${divergent}\:{in}\:{any}\:{case}. \\ $$$${if}\:{this}\:{is}\:{typo},\:{you}\:{should}\:{have}\:{fixed} \\ $$$${it},\:{since}\:{i}\:{had}\:{given}\:{you}\:{the}\:{hint} \\ $$$${about}\:{the}\:{typo},\:{but}\:{you}\:{didn}'{t}\:{fix}\:{it}, \\ $$$${so}\:{you}\:{don}'{t}\:{mean}\:{it}\:{is}\:{a}\:{typo}. \\ $$