"Outline of Test on Limits and Continuity" Chapter 2

I. Multiple Choice (1 - 8)

Composition of functions

Continuity: What should be assigned to h(2) to make h(x) continuous at x =2?

Limits

Bungee Jump problem

Points of discontinuity

delta-epsilon (Find delta, given epsilon)

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II. Definitions (9 - 10)

Function

Limit (both the epsilon-delta definition and the two-sided limit definition)

Continuity

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III. Determine the limits of functions
(11 - 18)

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IV. Miscellaneous (19 - 21)

Continuity (Proof)

Delta - epsilon Definition of the limit (Proof)

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V. Graphs (22 - 25)

Absolute Value

Greatest Integer Function

Piece-wise Defined Function

Situation with limits

Send any comments or questions to: David Pleacher