Let x0 ∈ (0, ∞) and ε > 0 be given. We need to find a δ > 0 such that
|1/x - 1/x0| < ε
import numpy as np import matplotlib.pyplot as plt mathematical analysis zorich solutions
|1/x - 1/x0| ≤ |x0 - x| / x0^2 < ε .
Let x0 ∈ (0, ∞) and ε > 0 be given. We need to find a δ > 0 such that
|1/x - 1/x0| < ε
import numpy as np import matplotlib.pyplot as plt
|1/x - 1/x0| ≤ |x0 - x| / x0^2 < ε .