ex_5.ipynb

Kernel: Python 2 (system-wide)

import matplotlib.pyplot as plt
import numpy as np
import math

x = np.linspace(0.00001,0.01,1000)

y = (1-np.cos(x))/x**2


plt.plot(x,y)

/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:7: RuntimeWarning: invalid value encountered in divide

[<matplotlib.lines.Line2D at 0x7f745c0dafd0>]

y = np.sin(x)/x

plt.plot(x,y)

/usr/local/lib/python2.7/dist-packages/ipykernel/__main__.py:1: RuntimeWarning: invalid value encountered in divide
  if __name__ == '__main__':

[<matplotlib.lines.Line2D at 0x7f745c059110>]

import math
x = x = np.linspace(0,4*math.pi,1000)
y = np.sin(2*x)

y = x*0

p = True

plt.figure(figsize = (10,10))

def nigzeret(n):
    global p
    if n%2 == 0:
        return 0
    if p:
        p = False
        return 2**n
    p = True
    return -(2**n)

for i in range(30):
    plt.subplot(6,5,i+1)
    y = y + nigzeret(i)*(x**i)/math.factorial(i)
    plt.plot(x,y)