CalcNotes0202-page1

CalcNotes0202-page1 - lim x a f x ( ) g x ( ) , or lim x a...

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(Section 2.2: Properties of Limits and Algebraic Functions) 2.2.1 SECTION 2.2: PROPERTIES OF LIMITS and ALGEBRAIC FUNCTIONS PART A: A LIST OF PROPERTIES / THE ALGEBRA OF LIMITS In this list, we assume that: lim x ± a fx () = L 1 , and lim x ± a gx () = L 2 , where a , L 1 and L 2 are real constants. 1) The limit of a sum equals the sum of the limits. (Informal) lim x ± a fx () + gx () ² ³ ´ µ = lim x ± a fx () + lim x ± a gx () = L 1 + L 2 2) The limit of a difference equals the difference of the limits. lim x ± a fx () ² gx () ³ ´ µ = lim x ± a fx () ² lim x ± a gx () = L 1 ² L 2 3) The limit of a product equals the product of the limits.
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Unformatted text preview: lim x a f x ( ) g x ( ) , or lim x a f x ( ) g x ( ) = lim x a f x ( ) lim x a g x ( ) = L 1 L 2 4) The limit of a quotient equals the quotient of the limits, if the limit of the divisor (i.e., denominator) is not zero. lim x a f x ( ) g x ( ) , or lim x a f x ( ) g x ( ) = lim x a f x ( ) lim x a g x ( ) = L 1 L 2 , if L 2 (to be continued)...
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This note was uploaded on 12/29/2011 for the course MATH 150 taught by Professor Sturst during the Fall '10 term at SUNY Stony Brook.

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