Unformatted text preview: ( ) lim x a f x L → = if and only if ( ) lim x a f x L + → = = ( ) lim x a f x→ . Theorem: If ( ) ( ) f x g x ≤ when x is near a (except possibly at a ) and the limits of f(x) and g(x) both exist as x approaches a , then ( ) ( ) lim lim x a x a f x g x → → ≤ . The Squeeze Theorem: If ( ) ( ) ( ) f x g x h x ≤ ≤ when x is near a (except possibly at a ) and ( ) ( ) lim lim x a x a h f x x L → → = = , then ( ) lim x a g x L → = . Try Exercises 2, 4, 8, 14, 18, 22, 26, and 46 on pages 106107 in the textbook....
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This note was uploaded on 12/12/2011 for the course MAC 2311 taught by Professor Teague during the Spring '11 term at Santa Fe College.
 Spring '11
 Teague
 Calculus, Limits

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