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Unformatted text preview: tangent line approximation . Examples 1. Find L ( x ) at x = 1 for f ( x ) = x + 1 x . 2. Find L ( x ) at x = 2 for f ( x ) = x 32 x + 3 and use this to estimate f (2 . 01). Find the error of the approximation. 2 3. Find a linearization to f ( x ) = sin1 x which would be valid for x = π/ 12 4. Find the linearization of f ( x ) = √ 1 + x + sin x and use it to estimate f (0 . 01). Roots and Powers–Special Case at x=0 An important linear approximation for roots and powers at x = 0 is: Proof: 3 Example: Find L ( x ) near x = 0 for f ( x ) = (1x ) 6 and g ( x ) = (4 + 3 x ) 1 / 3 4...
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This note was uploaded on 03/31/2008 for the course MATH 1205 taught by Professor Fbhinkelmann during the Spring '08 term at Virginia Tech.
 Spring '08
 FBHinkelmann
 Calculus

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