Rowing0914
/ main.py
Last active
October 27, 2019 09:14
First/Second/Third order Taylor Approximation of f(x) = x ** 3
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| import numpy as np | |
| from autograd import grad | |
| import matplotlib.pyplot as plt | |
| def f(x): | |
| return x ** 3 | |
| def f_first(x): | |
| return 3 * x ** 2 |
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| def f(n): | |
| sqr_5 = 5**(1/2) | |
| first = ((1 + sqr_5)/2)**n | |
| second = ((1 - sqr_5)/2)**n | |
| return int((1/sqr_5)*(first - second)) | |
| if __name__ == '__main__': | |
| answer = [1, 1, 2, 3, 5, 8, 13, 21, 34, 55] | |
| for i in range(1, 11): | |
| res = f(n=i) |