Saturday, 23 February 2019

elementary number theory - Prove that n2+n+1 is not divisible by 5 for any n


Prove that n2+n+1 is not divisible by 5 for any n.




I believe this might be tried using division algorithm, or modular arithmetic. I don't see exactly how to start this... Please help.

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real analysis - How to find limhrightarrow0fracsin(ha)h

How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...