Unformatted text preview: Find δ > 0 such that if 0 <  xa  < δ then  f ( x )L  < ε for each of the following: • f ( x ) = x + 2 , a = 5 , L = 7 , ε = . 1 • f ( x ) = x 24 x + 2 , a =2 , L =4 , ε = . 05 • f ( x ) = x 2 + 1 , a = 1 , L = 2 , ε = . 1 A tractor wheel is to be designed with circumference within . 1 feet of 4 π feet. How close to 2 feet must the radius be? Give an εδ proof that lim x → 2 (2 x3) = 1. x 3 2 1 11 22132 x f ( x ) . 5 . 6 . 9 . 83 . 99 . 849 . 999 . 8499 1 . 001 . 8502 1 . 01 . 86 1 . 1 . 89 1 . 5 . 96 Graph 1 Table 1...
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 Summer '08
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 Calculus, lim, 0.999...

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