#LIMITS

1 messages · Page 1 of 1 (latest)

normal flaxBOT
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mossy solar
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Multiply by the conjugate and divide by it or you can use Taylor expansion

cursive river
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thanks but..it's not enough, I keep getting stuck at some point

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if you could elaborate.. I would appreciate it

oblique oxide
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to start what is the conjugate term for the one in your first post?

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@cursive river

cursive river
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both radicals, only that instead of the minus between them we put a plus

golden lava
cursive river
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i tried this

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but the answer should be -1

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i dont know if i did it right

golden lava
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How do you get -1 from there?

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Also forhey about the lims in all your work, because that is not the limit you want to evaluate

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You want the limit of that, divided by the conjugate

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Which you used to simplify first

oblique oxide
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if you multiply by something, also divide by it

golden lava
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Yeah exactly what I meant

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Assuming your computations are correct, you're looking at:

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$$\lim_{n \to \infty} \frac{-2n-1}{\sqrt{n^2 - n + 1} + \sqrt{n^2 + n + 2}}$$

remote foxBOT
golden lava
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Which should be decently simple to compute

cursive river
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ohhh yeah

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right