Calculus 1: Chapter 1- Limits and Continuity

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8 Terms

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Tangent Line

A line that meets a curve at exactly one point

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Secant Line

If (x1,y1) and (x2,y2) are two distinct points on a curve, then a line through these points is a secant line

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Limit Notation

limx-af(x)=L

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Limiting behavior

as f(x) gets close to its limit L, as x gets close to some value, a.

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What are reasons a limit may not exist?

  1. Oscillation of the function

  2. Unboundedness

  3. One-sided limits aren’t equal

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One side vs two side limits

1 side- xx-2-

2 side- x-2

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