AngouriMath

Navigation

Home Quick start Wiki Almanac Research What's new Try Use Angouri.org GitHub Report a bug Donate Contacts

← Back to list of members

Limit

 Method with 2 overloads

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

  Summary

  Finds the limit of the given expression over the given variable
  

  Parameter "str"

  The expression to be parsed and whose limit to be computed
  

  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
  

  Example

  The two one-sided limits of 1 / x at zero differ, so the two-sided one does
  not exist, and NaN is the claim that it does not exist rather than that it was not
  computed:
  

  Console.WriteLine("1 / x".Limit("x", 0, ApproachFrom.Left));
  Console.WriteLine("1 / x".Limit("x", 0, ApproachFrom.Right));
  Console.WriteLine("1 / x".Limit("x", 0, ApproachFrom.BothSides));

  
  Prints
  

  -oo
  +oo
  NaN

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

  Summary

  Finds the limit of the given expression over the given variable
  

  Parameter "str"

  The expression to be parsed and whose limit to be found

  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

  The destination may be infinite, which is how the two classical limits below are
  asked for:
  

  Console.WriteLine("sin(x) / x".Limit("x", 0));
  Console.WriteLine("(1 + 1/x) ^ x".Limit("x", "+oo"));

  
  Prints
  

  1
  e