import numpy as np
import sympy as sp
import matplotlib.pyplot as plt
from IPython.display import display
import japanize_matplotlib

def descartes(ax, ran_x, ran_y, ax_title,x_label = "x", y_label = "y"):
    ax.set_xlabel(x_label, fontsize = 12)
    ax.set_ylabel(y_label, fontsize = 12)
    ax.set_xlim(ran_x[0], ran_x[1])
    ax.set_ylim(ran_y[0], ran_y[1])
    ax.set_title(ax_title, fontsize = 14)
    ax.grid()
    ax.axhline(0, color = "black")
    ax.axvline(0, color = "black")


fig = plt.figure(figsize = (5, 5))
ax = fig.add_subplot(111)


title1 = "数学Ⅲ　自然対数の底eの収束値"
x_label = "ｘ軸"
y_label = "ｙ軸"

descartes(ax, [0,100], [1.75, 3.25],title1,x_label,y_label)
colorlist = ["r", "g", "b", "c", "m", "y", "w", "k"]
n=np.arange(1,1001)
i=0
an=(1+1/n)**n

ax.scatter(n,an,color=colorlist[7],s=4)
ax.plot(n,an,color=colorlist[0])

bn=[np.e]*len(n)
ax.plot(n,bn,color=colorlist[2])

ax.text(0.9,2.73,"y={}".format(np.e),color=colorlist[2])

plt.show()