code: def test_acceleration():
      e = (1 + 1 / n) ** n
      assert round(richardson(e, n, 10, 20).evalf(), 10) == round(
          E.evalf(), 10
      )
  
      A = Sum(Integer(-1) ** (k + 1) / k, (k, 1, n))
      assert round(shanks(A, n, 25).evalf(), 4) == round(
          log(2).evalf(), 4
      )
      assert round(shanks(A, n, 25, 5).evalf(), 10) == round(
          log(2).evalf(), 10
      )
  
imports: from sympy.core.evalf import N
  from sympy.core.function import Derivative, Function, PoleError, Subs
  from sympy.core.numbers import E, Float, Rational, oo, pi, I
  from sympy.core.singleton import S
  from sympy.core.symbol import Symbol, symbols
  from sympy.functions.elementary.exponential import LambertW, exp, log
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.elementary.trigonometric import atan, cos, sin
  from sympy.functions.special.gamma_functions import gamma
  from sympy.integrals.integrals import Integral, integrate
  from sympy.series.order import O
  from sympy.series.series import series
  from sympy.abc import x, y, n, k
  from sympy.testing.pytest import raises
  from sympy.core import EulerGamma
  from sympy.series.acceleration import richardson, shanks
  from sympy.concrete.summations import Sum
  from sympy.core.numbers import Integer
label_desc: Use image node_id 10 for calling a global function with example usage: test_acceleration() without return types