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Unformatted text preview: ma + b Theorem 4: Limit of the Sum or Difference of Functions lim x ® a f ( x ) ± g ( x ) [ ] = lim x ® a f ( x ) ± lim x ® a g ( x ) = L ± M If lim x® a f ( x ) = L and lim x® a g(x) = M,then Theorem 5: Limit of the Product lim x ® a f ( x )· g ( x ) [ ] = lim x ® a f ( x )· lim x ® a g ( x ) = L · M If lim x® a f(x) = L and lim x® a g(x) = M ,then Theorem 6: Limit of the n th Power of a function lim x ® a f ( x ) [ ] n = L n then integer, positive any is n and L f(x) lim If a x → = Theorem 7: Limit of a Quotient lim x ® a f ( x ) g ( x ) = lim x ® a f ( x ) lim x ® a g ( x ) = L M , M ¹ 0 If lim x® a f ( x ) = L and lim x ® a g ( x ) = M , then Theorem 8: Limit of the n th Root of a Function lim x ® a f ( x ) n = lim x ® a f ( x ) n = L n then , L f(x) lim and integer positive a is n If a x → = Note: If n is even then L ≥...
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This note was uploaded on 10/19/2011 for the course MATH 21 taught by Professor Ma'amrosarioexconde during the Summer '11 term at Mapúa Institute of Technology.
 Summer '11
 Ma'amRosarioExconde
 Differential Calculus, Limits

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