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Introduction to Limits

AP Calculus

Micol Bedarida

on 18 November 2012

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Transcript of Introduction to Limits

We define to be the left-hand limit of f(x) at c as x approaches c from the negative side Limits Definition "Easy Limits sin(x)/x = 1 Trigonometric Functions proof: Continuity The number L is the limit of f(x) as x approaches c if,
given an arbitrarily small interval around L, another interval around c can be found such that f(x) is within the first interval if x is within the second interval./
as the values of x get arbitrarily close to c, the values of f(x) approach or equal L We write: We define to be the right-hand limit of f(x) at c as x approaches c from the positive side NOTE: For to exist, the left and right-hand limits of f(x) at c must be EQUAL!!! Example 1 Examples Example 2 Example 3 Example 4
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