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Limit of Function And Its Types

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Limit of Function And Its Types. In this presentation i describe all the information about limit of function and also its types.

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Limit of Function And Its Types

  1. 1. Limit Of Function And Its Types
  2. 2.  BY Muhammad Adeel
  3. 3.   In mathematics, the limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular input.  Let f be a function defined on some open interval containing a except possibly at a itself. Then, the limit of f as x approaches a is L, written as Limit Of Function  lim ( ) x a f x f a  
  4. 4.   Limit of f(x) as x approaches a from the Left. Lift Side Limit  xf ax   lim
  5. 5.   Limit of f(x) as x approaches a from the Right. Right Side Limit  xf ax   lim
  6. 6.   The limit of f as x approaches -3 exists and it is equal to 0 because Existence OF Limit    xf x 3 lim  3 lim 0 x f x   2 9 ( ) 3 x f x x   
  7. 7.   Limit By Direct Substitution  Limit By Factoring  Limit By Rationalization  Limit At Infinity  Trigonometric Limit  Limit Involving Number e Types Of Limit
  8. 8.  These are easiest problems. In these problems you only need to substitute the value to which the independent value is approaching. Direct Substitution
  9. 9.   We use our algebraic skills to simplify the expression Factoring
  10. 10.  In these limits we apply an algebraic technique called rationalization Rationalization
  11. 11.  In these limits the independent variable is approaching infinity At Infinity
  12. 12.  In most limits that involve trigonometric functions you must apply the fundamental limit: Trigonometric
  13. 13.   This types of question have e form Involving Number e
  14. 14.

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