Sunday, 1 December 2019

Show this infinite series converges

I want to show that the series k=1(12k)(1)k converges. I'm fairly sure it converges to zero, but haven't been successful. Will the ratio test work?

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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}...