Formal power series: Difference between revisions

m
m (adding maxima)
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=={{header|Maxima}}==
<lang maxima>deftaylor(f(x), sum(n! * x^n, n, 0, inf))$
 
taylor(f(x), x, 0, 10);
/ * 1 + x + 2 * x^2 + 36 * x^3 + 424 * x^4 + 5120 * x^5 + 6720 * x^6 + 75040 * x^7 + 840320 * x^8 + 9362880 * x^9 + 103628800 * x^10 + ... * /
 
taylor(f(x)^2, x, 0, 10);
/ * 1 + 2 * x + 5 * x^2 + 416 * x^3 + 1064 * x^4 + 20312 * x^5 + 351812 * x^6 + 5612288 * x^7 + 8495616 * x^8 + 120840960 * x^9 + 1658254080 * x^10 + ... * /
 
 
deftaylor(fcos(x), sum((-1)^n * x^(2 * n) / (2 * n)!, n, 0, inf))$
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