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# Section 2.2 - → III Formal Definition of Limit • Let f...

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Chapter Two: Limits Section 2.2: Finding Limits Graphically and Numerically I. A table can be used to approximate the limit numerically: x 0 1 cosx lim x - : Based on these approximations, we can make an educated guess and say that x 0 1 cosx lim 0 x - = II. There are three reasons why ( ) lim x c f x does not exist: Behavior on left of c differs from behavior on right of c. Function has unbounded behavior as x c

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Function oscillates wildly as x c
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Unformatted text preview: → . III. Formal Definition of Limit • Let f be a function defined on an open interval containing c (except possibly at c) and let L be a real number. The statement ( ) lim x c f x L → = means that for each ε > , there exists a δ > such that ( ) x c f x L <-< ⇒-< . • When doing these problems, you are going to be given ε and will have to use the definition to solve for δ ....
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Section 2.2 - → III Formal Definition of Limit • Let f...

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