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1. assume the following limit is true.
lim x->0 (1+x)^1/x = e

Evaluate lim x->0 [9(1+x) (1+x)^1/x +sqrt(9-x)].
 Jan 31, 2012
 #1
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[input]lim( (1+x)^(1/x), x=0 )[/input]

[input]lim( 9*(1+x)*(1+x)^(1/x)+sqrt(9-x) , x=0 )[/input]
(exact) = 9*e+3

(to see exact solutions too, insert these inputs in the calculator input text field on web2.0calc.com)
 Jan 31, 2012

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