hiii know this isn't that hard, but i keep getting diverges even know i know it converges. i'm sure i'm just doing the work wrong so i'd really appreciate if somebody could do the work out for me so i can cross check and find my mistake.
#Calc BC - Series Ratio Test
final onyx
nova hollowBOT
hiii know this isn't that hard, but i keep getting diverges even know i know it ...
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hiii know this isn't that hard, but i keep getting diverges even know i know it ...
Can you show what you've tried?
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You can't cancel like that.
You can only cancel factors, not terms inside factors.
final onyx
which part are you referring to? sorry TT
OH nvm i know what you mean, lemme work it out again
i got converges now, thank u sm!! i always make algebra mistakes lol i appreciate the help in finding it
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i got converges now, thank u sm!! i always make algebra mistakes lol i appreciat...
Nice! Also, notice that we could've simplified at the start a bit:
a(n) = 6^m m^2/m! = 6^m m/(m - 1)!
So:
a(n + 1)/a(n) = 6((m + 1)/m!)/(m/(m - 1)!) = 6(m + 1)/m^2
That obviously goes to 0 for n -> ∞.
final onyx
oh great that matches up with the work i had at the end! again thank you :)
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You're welcome!
final onyx
+close