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Unformatted text preview: e 2 x we see that 5 e 2 x3 e2 x 3 e 2 x + 4 e2 x = 5 e 4 x3 3 e 4 x + 4 . On the other hand, lim x  e ax = 0 for all a > 0. But then by properties of limits, lim x  5 e 4 x3 3 e 4 x + 4 =3 4 . Consequently, the limit exists and limit =3 4 . keywords: exponential function, limit as inFnity 015 (part 1 of 1) 10 points When f, g, F and G are functions such that lim x 1 f ( x ) = 0 , lim x 1 g ( x ) = 0 , lim x 1 F ( x ) = 2 , lim x 1 G ( x ) = , which, if any, of A. lim x 1 f ( x ) g ( x ) ;...
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This note was uploaded on 02/14/2012 for the course MATH 408 K taught by Professor Clark,c.w./hoy,r.r during the Spring '08 term at University of Texas at Austin.
 Spring '08
 CLARK,C.W./HOY,R.R

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