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Calculus: Limits and Asymptotes Notes, examples, & practice quiz (with solutions) Includes definitions, greatest integer function, strategies, infinity, slant asymptote, and more.

Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

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Page 1: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Calculus: Limits and

Asymptotes

Notes, examples, & practice quiz (with solutions)

Includes definitions, greatest integer function, strategies, infinity, slant

asymptote, and more.

Page 2: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 3: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 4: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 5: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 6: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 7: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 8: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

PRACTICE QUIZ

Page 9: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 10: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 11: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

SOLUTIONS

Page 12: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 13: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

Page 14: Calculus: Limits and Asymptotes - Math Plane · Finding Limits: Examples 1) "Plug in the Number" lim 1 + xcos(2x) lim lim lim cos(2x) (Direct Substitution) lim x lim 1 + lim 3x +

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