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Unformatted text preview: x → ln( x + 2)ln 2 x . x. 1. 01. 001 . 001 . 01 . 1 ln( x + 2)ln 2 x 4. Return the function f ( x ) = x 2 + 1. We will argue that lim x → 3 f ( x ) = 10. (a) Find a number d for which f ( x ) is within 1 of 10 whenever x is within d of 3. In other words, ﬁnd a number d such that 9 < f ( x ) < 11 whenever 3d < x < 3 + d (b) Find a number d for which f ( x ) is within 0 . 1 of 10 whenever x is within d of 3. (c) Find a number d for which f ( x ) is within 0 . 05 of 10 whenever x is within d of 3. 2...
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This note was uploaded on 07/19/2010 for the course MATH V63.0121 taught by Professor Staff during the Spring '08 term at NYU.
 Spring '08
 staff
 Calculus, Limits

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