Indeterminate forms and their behaviours

  • Authors:
  • Saeed Al-Hajjar

  • Affiliations:
  • Mathematical Sciences And Information Technology, Ahlia University, Manama, Kingdom of Bahrain

  • Venue:
  • WSEAS Transactions on Mathematics
  • Year:
  • 2008

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Abstract

This study shows that there exist solutions to the seven main indeterminate forms that are raised in the world of mathematics. Some limits of functions are said to be indeterminate when merely knowing the limiting behaviour of individual parts of expression is not sufficient to actually determine the overall limit. There will be a study of a certain typical number whereas, if a variable x tends to a certain value α (eventually equal to + ∞ or - ∞), a certain function Γ(x) does not have an apparent limit from the first view. To eliminate the indetermination (or looking for the right value of Γ (α), is to find this limit if it exists.