Problem 4. use the principle of induction to verify:
$$\sum_{k=1}^n k^2 = \frac{n(n+1)(2n+1)}6$$
base case is obviously easy, but I don't know how to prove the inductive case
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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