real analysis
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Low bounty! It is also not easy to write a good solution for this problem in 45 minutes. You may want to extend the deadline.

i can increase the money if anything

solution doesnt have to be good, just to the point

Generally you should offer higher bounties for solutions with short deadlines.

i can offer little more if you're willing to take

Yes

This is like three proofbased questions. Please also extend the deadline if possible.

Your need formal proofs?

simple proofs if anything becasue they're very lowly marked

You are expecting someone to write 3 proofs in like 30 minutes. Even writing them down would take longer than 30 minutes.

cant extend deadline sorry

im sorry this is the best i can do, proofs here should be simple like less than 3 lines each
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