Calculus gang
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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

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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. 


Calculus gang

#1

  • Find the limit

    If it exists


Calculus gang

#2

  • Find the limit.


Calculus gang

#3

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


Calculus gang

#4

  • Write a piecewise function that would remove the discontinuity.


Calculus gang

#5

  • Find the equation of the tangent line (if it exists) at x=3


Calculus gang

#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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