Friday 14 August 2015

number theory - How many zeros are there in $1 times 2^2 times 3^3 times cdots times 100^{100}$?

How many zeros are there at the end of $1 \times 2^2 \times 3^3 \times \cdots \times 100^{100}$ ?



I tried it by grouping all the $2$'s and $5$'s and $5$'s and $6$'s but cant get my answer...

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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}...