File:Continuity of the Exponential at 0.svg

import matplotlib.pyplot as plt
import numpy as np

xs = np.linspace(-1.0, 1.5, 100)
ys = np.exp(xs)
fs = 13

blue="#007ec1"
orange="#d77a5a"
green="#6e8334"

plt.plot(xs, ys, color=blue)

plt.axis("off")
plt.axhline(color="black")
plt.axvline(color="black")
plt.ylim((-0.2, ys.max()))

plt.text(-0.08, -0.25, "$0$", fontsize=fs)

plt.plot([0], [1], "o", color=blue)
plt.text(-1.25, 1.15, "$\lim_{n\\to\infty}\ \exp\left(\\frac{1}{n}\\right)=\exp\left(\lim_{n\\to\infty}\ \\frac{1}{n}\\right)$", color=blue, fontsize=fs)

plt.text(0.3, 2, '$\exp\left(\\frac{1}{n}\\right)$', color=orange, fontsize=fs)
plt.text(0.04, 0.5,   "...", fontsize=fs)

for n in range(1,6):
  plt.plot([1./n,1./n], [0,np.exp(1./n)], "--", color="black")
  plt.plot([1./n], [0], "o", color=green)
  plt.plot([1./n], [np.exp(1./n)], "o", color=orange)

plt.text(0.48, -0.3, "$\\frac{1}{n}$", color=green, fontsize=fs)

plt.arrow(0.18,np.exp(0.18)+0.1,-0.12,-0.16, color=orange, head_width=0.03)
plt.arrow(0.18,-0.05,-0.12,0, color=green, head_width=0.03)

plt.savefig("Continuity of the Exponential at 0.svg", transparent=True, bbox_inches="tight", pad_inches=0.05)