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Stewart6e2_3

# Stewart6e2_3 - MATH 191 Sections 1 and 3 Calculus I Fall...

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MATH 191, Sections 1 and 3 Calculus I Fall 2007 Section 2.3: Limit Laws The book lists eleven basic properties of limits, as well as a few more theorems which should help you evaluate a large number of limits without “plugging in” or “guesstimating.” Below these laws are written for “lim x a ” only, but apply equally well to one-sided limits, as long as the indicated limits exist . Throughout the following laws, let us assume that c is a constant, and that f and g are functions such that lim x a f ( x ) and lim x a g ( x ) exist. 1. lim x a ( f + g )( x ) exists and equals . 2. lim x a ( f - g )( x ) exists and equals . 3. lim x a ( cf )( x ) exists and equals . 4. lim x a ( fg )( x ) exists and equals . 5. As long as , lim x a ( f g ) ( x ) exists and equals . 6. For positive integers n , lim x a ( f ( x )) n exists and equals . 7. lim x a c = for the constant c . 8. lim

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Stewart6e2_3 - MATH 191 Sections 1 and 3 Calculus I Fall...

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