SymPy Gamma

SymPy:

series (sin (x),x,pi /2)

$\mathrm{series}(\mathrm{sin}(x), x, \frac{\pi}{2})$

Result:

$1 - \frac{x^{2}}{2} + \frac{x^{4}}{24} + \mathcal{O}\left(x^{6}\right)$

Plot:

Roots:

solve(1 - x**2/2 + x**4/24 + O(x**6), x)

$x =$

diff(1 - x**2/2 + x**4/24 + O(x**6), x)

$\frac{d}{d x}\left(1 - \frac{x^{2}}{2} + \frac{x^{4}}{24} + \mathcal{O}\left(x^{6}\right)\right) =$

series(1 - x**2/2 + x**4/24 + O(x**6), x, 0, 10)

See what Wolfram|Alpha has to say.

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