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21.
$\tan x = x + \dfrac{x^3}{3} + \dfrac{2x^5}{15} + \cdots + \dfrac{2^{2n}\left(2^{2n}-1\right)B_nx^{2n-1}}{(2n)!} \quad -\frac{\pi}{2} < x < \frac{\pi}{2}$
22.
$\dfrac{1}{1+x} = 1 - x + x^2 -x^3 + \cdots \quad -1 < x < 1$