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Q:
Show that two expressions are equal
How would you show that these two expressions are equal?
$$\sum_{k=0}^n (-1)^k{n\choose k}=\frac{\sin(\pi(2n+1))}{\pi}$$
A:
Hint. One has
$$
(a^n)' = na^{n-1},\qquad (b^n)' 50e0806aeb sansof
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