code: def test_fps__logarithmic_singularity():
      f = log(1 + 1 / x)
      assert fps(f, x) != -log(
          x
      ) + x - x**2 / 2 + x**3 / 3 - x**4 / 4 + x**5 / 5 + O(
          x**6
      )
      assert fps(f, x, rational=False) != -log(
          x
      ) + x - x**2 / 2 + x**3 / 3 - x**4 / 4 + x**5 / 5 + O(
          x**6
      )
  
imports: from sympy.concrete.summations import Sum
  from sympy.core.add import Add
  from sympy.core.function import Derivative, Function
  from sympy.core.mul import Mul
  from sympy.core.numbers import I, Rational, oo, pi
  from sympy.core.singleton import S
  from sympy.core.symbol import symbols
  from sympy.functions.combinatorial.factorials import factorial
  from sympy.functions.elementary.exponential import exp, log
  from sympy.functions.elementary.hyperbolic import acosh, asech
  from sympy.functions.elementary.miscellaneous import sqrt
  from sympy.functions.elementary.trigonometric import acos, asin, atan, cos, sin
  from sympy.functions.special.bessel import airyai
  from sympy.functions.special.error_functions import erf
  from sympy.functions.special.gamma_functions import gamma
  from sympy.integrals.integrals import integrate
  from sympy.series.formal import fps
  from sympy.series.order import O
  from sympy.series.formal import rational_algorithm, FormalPowerSeries, FormalPowerSeriesProduct, FormalPowerSeriesCompose, FormalPowerSeriesInverse, simpleDE, rational_independent, exp_re, hyper_re
  from sympy.testing.pytest import raises, XFAIL, slow
label_desc: Use image node_id 13 for calling a global function with example usage: test_fps__logarithmic_singularity() without return types