Wednesday, 10 September 2014

sequences and series - How to prove {an } is increasing where a1=sqrt2 and an+1=sqrt2+an

I already found out that this sequence is bounded above and an<2nZ+



I think I'm missing a point as I can't think of a way to prove that the sequence is increasing.

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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}...