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Limit

 Method with 2 overloads

• Limit​(AngouriMath.​Entity.​Variable,​AngouriMath.​Entity,​AngouriMath.​Core.​ApproachFrom)

  Summary

  Finds the limit of the given expression over the given variable
  

  Parameter "x"

  The variable to be approaching
  

  Parameter "destination"

  A value where the variable approaches. It might be a symbolic
  expression, a finite number, or an infinite number, for example,
  "sqrt(x2 + x) / (3x + 3)".Limit("x", "+oo", ApproachFrom.BothSides)
  

  Parameter "side"

  From where to approach it: from the left, from the right,
  or BothSides, implying that if limits from either are not
  equal, there is no limit
  

  Returns

  A result or the Limitf node if the limit
  cannot be determined
  

• Limit​(AngouriMath.​Entity.​Variable,​AngouriMath.​Entity)

  Summary

  Finds the limit of the given expression over the given variable
  

  Parameter "x"

  The variable to be approaching
  

  Parameter "destination"

  A value where the variable approaches. It might be a symbolic
  expression, a finite number, or an infinite number, for example,
  "sqrt(x2 + x) / (3x + 3)".Limit("x", "+oo")
  

  Returns

  A result or the Limitf node if the limit
  cannot be determined
  

  Example

  using System;
  using static AngouriMath.MathS;
  
  var (x, a) = Var("x", "a");
  var expr = (1 + a / x).Pow(x);
  Console.WriteLine(expr);
  Console.WriteLine(expr.Limit(x, +oo));
  Console.WriteLine("----------------------");
  var expr1 = Sin(x * a) / x;
  Console.WriteLine(expr1);
  Console.WriteLine(expr1.Limit(x, +oo));
  Console.WriteLine("----------------------");
  var expr2 = (a * Sqr(x) + x + Sqr(a)) / (3 * x + 5 * Sqr(x) + 9);
  Console.WriteLine(expr2);
  Console.WriteLine(expr2.Limit(x, 0));
  Console.WriteLine("----------------------");
  var expr3 = (a * Sqr(x) + x + Sqr(a)) / (3 * x + 5 * Sqr(x) + 9);
  Console.WriteLine(expr3);
  Console.WriteLine(expr3.Limit(x, +oo));

  
  Prints
  

  (1 + a / x) ^ x
  e ^ a
  ----------------------
  sin(x * a) / x
  limit(sin(x * a) / x, x, +oo)
  ----------------------
  (a * x ^ 2 + x + a ^ 2) / (3 * x + 5 * x ^ 2 + 9)
  a ^ 2 / 9
  ----------------------
  (a * x ^ 2 + x + a ^ 2) / (3 * x + 5 * x ^ 2 + 9)
  a / 5