#P-SERIES
dusky pastureBOT
gleaming fernBOT
adonhs
stoic monolith
Are you suggesting p-series works for this?
Could geometric series work to by direct comparison or would be better to use pseries or alternating series
i understand n! grows much faster tha n^
strong iris
no. i am suggesting what this picture says.
if sum n=4 to infinity (1/n²) is convergent, then your original sum is convergent as well, since 1/n² will always be bigger than 1/n!
patent lance
Are you suggesting p-series works for this?
yes
stoic monolith
Ah ok
strong iris
if you can prove n! is always bigger for all n>=4 then n², then its proven the sum converges as well
stoic monolith
if you can prove n! is always bigger for all n>=4 then n², then its proven the s...
True i see what you mean, ill try that
strong iris
but i guess there are multiple ways to prove this. depending on what you can view as trivial
stoic monolith
makes sense
strong iris
if its trivial that the sum n=1 to infinity 1/n^m for all m>1 converges, then you can do my way
patent lance
**adonhs**
Oh I made a mistake I meant for n ≥ 4****
my bad
😅
otherwise it doesnt make sense
patent lance
.solved