#Problem.

33 messages · Page 1 of 1 (latest)

tall arrow
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idk how to get this inequality?

image.png
craggy roverBOT
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craggy roverBOT
zinc coral
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for $k \geq 2$, $\frac{1}{\sqrt{k}} \le \int_{k-1}^{k} \frac{1}{\sqrt{x}} dx$

round quarryBOT
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Rotator

757307393347551292.png
zinc coral
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Try to get a similar inequality on the left side

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I’ll let you see what you can do next

tall arrow
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ok, this is stupid but i havent solved any problem that uses integral in seq questions. should i skip this and attempt later or do it anyway

tall arrow
slender sphinx
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that should work

zinc coral
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But it’s less efficient

tall arrow
slender sphinx
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do whatevers required for that in induction hypothesis

tall arrow
slender sphinx
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what your hypothesis is

tall arrow
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sum+1/k+1 < 2 root(k+1)

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trying to prove this

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ok did it

meager isleBOT
slender sphinx
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@tall arrow +close

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is this from an isi entrance btw?

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might've seen something similar for ugb

tall arrow
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+close

craggy roverBOT
# tall arrow +close
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craggy roverBOT
# craggy rover

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craggy roverBOT
# craggy rover

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craggy roverBOT
#

@tall arrow

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