Thursday 2 May 2019

discrete mathematics - Proof for a $n times m$ checkerboard tiling

I believe it is a basic problem, but I would like some help proving this statement:



Prove that a $n\times m$ checkerboard can be filled with $k\times 1$ tiles if and only if k divides m or n.

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real analysis - How to find $lim_{hrightarrow 0}frac{sin(ha)}{h}$

How to find $\lim_{h\rightarrow 0}\frac{\sin(ha)}{h}$ without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...