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Calculus Gang. Get in groups of three. Hopefully these problems will not take you to the limit of learning. . #1. Find the limit If it exists. #2. Find the limit. #3. Give any points (x) where f(x) is not continuous and tell what type of discontinuity exists at that point. #4.

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calculus gang

Calculus Gang

Get in groups of three. Hopefully these problems will not take you to the limit of learning. 

slide2
#1
  • Find the limit

If it exists

slide3
#2
  • Find the limit.
slide4
#3

Give any points (x) where f(x) is not continuous and tell what type of discontinuity exists at that point.

slide5
#4
  • Write a piecewise function that would remove the discontinuity.
slide6
#5
  • Find the equation of the tangent line (if it exists) at x=3
slide7
#6
  • Find the equation of the normal line at x=1 for
answers
Answers
  • 1) 7
  • 2) positive infinity
  • 3) x=5; point discontinuity; x=-5 jump discontinuity
  • 4)
  • 5) Does not exist; left and right hand derivative do not match.
  • 6) y-6=-1/2(x-1)
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