AmTran_Bus
  • AmTran_Bus
Someone check this calc 2?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
schrodinger
  • schrodinger
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
AmTran_Bus
  • AmTran_Bus
AmTran_Bus
  • AmTran_Bus
I said converges since I got a limit at 0?
Haseeb96
  • Haseeb96
Correct

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More answers

freckles
  • freckles
how did you get 0?
freckles
  • freckles
\[\lim_{n \rightarrow \infty}n(n-6)\] that looks like a product of really big numbers
AmTran_Bus
  • AmTran_Bus
Did i mess up? let me try again...
AmTran_Bus
  • AmTran_Bus
@Haseeb96 @freckles so am i right or not guess we can check on wolfram
freckles
  • freckles
the product of really big positive numbers is a really big positive number
freckles
  • freckles
not 0
AmTran_Bus
  • AmTran_Bus
So the limit is infinity? I mean, as long as there is a limit it converges, right?
freckles
  • freckles
infinity or -infinity means it diverges
Haseeb96
  • Haseeb96
if the limit is infinity then it will be divergence
freckles
  • freckles
infinity isn't a number just so you know it just means it gets really really big
Haseeb96
  • Haseeb96
but @freckles he said limit is 0 so i said he is correct
freckles
  • freckles
why is the limit 0 @Haseeb96
AmTran_Bus
  • AmTran_Bus
Ok. Well, thanks all. I need to go back and review I guess.
freckles
  • freckles
I'm pretty sure the product of really big positive numbers can not be 0
freckles
  • freckles
do you understand why it diverges @AmTran_Bus
AmTran_Bus
  • AmTran_Bus
Yes, I understand if it is infinity it diverges. Thanks. But I need to solve the limit correctly.
AmTran_Bus
  • AmTran_Bus
But I see what you are saying with that @freckles
SolomonZelman
  • SolomonZelman
\(a_n=n(n-6)\) \(\displaystyle \lim_{n\rightarrow\infty }n(n-6)\) \(\displaystyle \lim_{n\rightarrow\infty }n^2-6n\) diverges to positive inifinity.
AmTran_Bus
  • AmTran_Bus
Thanks solomon
SolomonZelman
  • SolomonZelman
Sure.... everytime to see the sequence convergence, for any sequence \(A_n\) , take the limit of it as n approaches infinity
freckles
  • freckles
60(54)=? 100(94)=? 1000(994)=? 10000(9994)=? these products are getting super super big
SolomonZelman
  • SolomonZelman
And if sequence diverges, then (always!) the series diverges
AmTran_Bus
  • AmTran_Bus
Yes. I super see that now. Thanks so much freckles. I think I understand it.
AmTran_Bus
  • AmTran_Bus
Thanks solomonzelman
SolomonZelman
  • SolomonZelman
yw
SolomonZelman
  • SolomonZelman
((that was my favorite section when I learned it, btw))
SolomonZelman
  • SolomonZelman
good luck, you will get an A I am sure... !

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