So I ran into this problem today. It asks me to use an identity to simplify the sum.
$$\sum_{j=7}^{27}\ln\left(\frac{j+1}{j}\right)$$
I have no idea where to start. I don't know any identity that fits this formation. Thanks.
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}...
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