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Unformatted text preview: 5) 3 e x 2 +4 6. y = log( e 2 x ) 7. y = r (5 x +3)(9 x − 1) x 2 +1 3. In this problem, we show that lim x → (1 + x ) 1 /x = e . Consider the function f ( x ) = log(1 + x ). 1. Write a limit that represents f ′ (0). 2. Find f ′ (0). 3. Conclude that log p lim x → (1 + x ) 1 /x P = 1 , and hence lim x → (1 + x ) 1 /x = e. 2...
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This note was uploaded on 03/27/2012 for the course MATH 1a taught by Professor Benedictgross during the Fall '09 term at Harvard.
 Fall '09
 BenedictGross
 Derivative, Logarithmic Functions

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