Wednesday, 19 March 2014

number theory - The highest power of a prime that divides f(x)

I have read a result on computing the highest power of a prime that divides n!. I was wondering if there are any results on how to compute the highest power of a prime dividing f(x), where f is a function on the real numbers that outputs integer values.

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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}...