e^{x} = 1+\frac{x}{1!} +\frac{x^{2}}{2!}+ .... \frac{x^{n}}{n!}

from math import pi,e, log, factorial
import matplotlib.pyplot as plt

"""
e^Taylor expansion of x
Example: x=Calculate e as 1
"""

def calc_e(n,x):
    dum=0.0
    for nn in range(n+1):  # x^n/n!Calculation
        dum+=x**nn/factorial(nn)
    return dum

#main
sol=[]
for j in range(8):  # n=Calculation up to 7th order
    sol.append(calc_e(j,1)) #n=1 ~Store e in a list named sol when it is truncated at an order up to 8.

# for plot
plt.plot(sol)
plt.xlabel('x',fontsize=24)
plt.show()

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