code: def test_f1b():
      m = Symbol("m")
      n = Symbol("n")
      h = Symbol("h")
      a = Symbol("a")
      assert limit(sin(x) / x, x, 2) == sin(2) / 2  # 216a
      assert limit(sin(3 * x) / x, x, 0) == 3  # 217
      assert limit(sin(5 * x) / sin(2 * x), x, 0) == Rational(
          5, 2
      )  # 218
      assert limit(sin(pi * x) / sin(3 * pi * x), x, 0) == Rational(
          1, 3
      )  # 219
      assert limit(x * sin(pi / x), x, oo) == pi  # 220
      assert limit((1 - cos(x)) / x**2, x, 0) == S.Half  # 221
      assert limit(x * sin(1 / x), x, oo) == 1  # 227b
      assert (
          limit((cos(m * x) - cos(n * x)) / x**2, x, 0)
          == -(m**2) / 2 + n**2 / 2
      )  # 232
      assert limit((tan(x) - sin(x)) / x**3, x, 0) == S.Half  # 233
      assert limit(
          (x - sin(2 * x)) / (x + sin(3 * x)), x, 0
      ) == -Rational(
          1, 4
      )  # 237
      assert limit((1 - sqrt(cos(x))) / x**2, x, 0) == Rational(
          1, 4
      )  # 239
      assert (
          limit((sqrt(1 + sin(x)) - sqrt(1 - sin(x))) / x, x, 0) == 1
      )  # 240
  
      assert limit((1 + h / x) ** x, x, oo) == exp(h)  # Primer 9
      assert limit((sin(x) - sin(a)) / (x - a), x, a) == cos(
          a
      )  # 222, *176
      assert limit((cos(x) - cos(a)) / (x - a), x, a) == -sin(a)  # 223
      assert limit((sin(x + h) - sin(x)) / h, h, 0) == cos(x)
  
imports: from sympy.core.numbers import Rational, oo, pi
  from sympy.core.singleton import S
  from sympy.core.symbol import Symbol
  from sympy.functions.elementary.exponential import exp, log
  from sympy.functions.elementary.miscellaneous import root, sqrt
  from sympy.functions.elementary.trigonometric import asin, cos, sin, tan
  from sympy.polys.rationaltools import together
  from sympy.series.limits import limit
label_desc: Use image node_id 16 for calling a global function with example usage: test_f1b() without return types