Miss Battaglia AP Calculus AB/BC. x -âˆ‍ ïƒ -100-100110100...

download Miss Battaglia AP Calculus AB/BC. x -âˆ‍ ïƒ -100-100110100 âˆ‍âˆ‍ f(x) 3ïƒ3ïƒ 2.99972.971.50 2.972.9997 33 f(x) approaches 3 x decreases

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Transcript of Miss Battaglia AP Calculus AB/BC. x -âˆ‍ ïƒ -100-100110100...

  • Slide 1
  • Miss Battaglia AP Calculus AB/BC
  • Slide 2
  • x - -100-100110100 f(x) 33 2.99972.971.50 2.972.9997 33 f(x) approaches 3 x decreases without bound x increases without bound f(x) approaches 3
  • Slide 3
  • Let L be a real number. 1. The statement means that for each >0 there exists an M>0 such that |f(x)-L| M. 2. The statement means that for each >0 there exists an N
  • Let f be a function defined on the interval (a,) 1. The statement means that for each positive number M, there is a corresponding number N>0 such that f(x)>M whenever x>N. 2. The statement means that for each negative number M, there is a corresponding number N>0 such that f(x) N.
  • Slide 14
  • Find each limit. a.b.
  • Slide 15
  • Find each limit. a.b.
  • Slide 16
  • AB/BC Calculus: Read 3.5 Page 205 #1-6, 19-35 odd, Quiz tomorrow