FINDING GRAPHICAL LIMITS

Strategy for Finding Directional Graphical Limits

  1. Case 1 Point: When approaching a point defined or not (Closed or Open) the limit is the y coordinate of the point you are approaching. 
  2. Case 2 Vertical Asymptote: When approaching a vertical asymptote, the limit is infinity if you are heading up and negative infinity if you are heading downwards.
  3. Case 3 Oscillation: When a function oscillates toward a boundary ​ value the limit in that case does not exist. 

STRATEGY FOR FINDING FINITE DIRECTIONAL LIMITS

Strategy on how to find finite limits graphically
  1. #1 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limits infinite  x approaches infinity x^3-2x^2+3x-4 4  4 1 0
  2. the graph of a function is shown above. At which value of x is f continuous but not differentiable #2 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit continuity the graph of a function continuous not differentiable
  3. Let f be the function given above which of the following statement are true about f #3 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit continuity let f be the given function which statement true
  4. For which of the following does lim x->4 f(x) exists  #4 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit continuity for which of the following does lim x 4 exits
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  6. #6 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit f is continuous  lim x 0 2x^6+6x^3 4x^5+3x^3 4x^5+3x^3  0 1/2/1/2/ nonexitstent
  7.  f(x)= x^2-3x+9 kx+1 the function f is defined above. For what value of k if any  is f continuous at x=2 A 1 B 2 C  3D 7 E No value of k will make f continuous at x=2 lim x 0 2x^6+6x^3 4x^5+3x^3 4x^5+3x^3  0 1/2/1/2/ nonexitstent
  8. #8 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit f is continuous  lim h 0 e^2+h-e^2 h college board ab
  9. the graph of the even function y=f(x) consists of 4 line segments as shown above. Which of the following statements about  f is false lim x->0 (f(x)-f(0)) /x=0 #9 Ap Calculus Multiple Choice Practice Test math exam review tutor online course tutorial limit f is continuous  which statements is false
  10. if f is continuous function on the closed interval [a,b] which of the following must be true  There is a number c in the open interval (a,b) such that f(c)=0 such that f(a)<f(c),f(b) f(c) greater or equel to f(x) Intermediate extreme mean value
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