Wednesday, 8 January 2020

real analysis - Sin(n) and cos(n) dense in $[-1,1]

We knows that sin(x) and cos(x) are two function with value in the closed set [1,1]. How can I prove that X=(sin(n)|nN) and Y=(cos(n)|nN) are or not dense in [1,1].

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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}...