This preview shows pages 1–5. Sign up to view the full content.
This preview has intentionally blurred sections. Sign up to view the full version.
View Full DocumentThis preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
Unformatted text preview: 2 x 2x2 x 23 x + 2 b ) lim x 1 x 2 + 25 x5 c ) lim x 1cos( x 1+ x ) x 2 d ) lim x 1 p  x1  + 11  x1  e ) lim x  tan( x )  x III: (25 points) Given the function f ( x ) = 2 1 + x 2 . a) Find all values for x that satisfy  f ( x )1  < 1 b) Find g ( h ) so that  f (1 + h )f (1)  = g ( h )  h  c) For > 0, nd > 0 so that  h  <  f (1 + h )f (1)  < IV: (25 points) Show, using Mathematical Induction, that for x 6 = 1 (1 + x )(1 + x 2 )(1 + x 4 ) (1 + x 2 n ) = 1x 2 n +1 1x . Fill in the following steps: a) Check the statement for n = 0 and n = 1. b) Write down the Induction Assumption: c) Carry out the Induction Step:...
View
Full
Document
This note was uploaded on 02/07/2011 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.
 Fall '08
 N/A
 Calculus, Approximation

Click to edit the document details