Lab Report 6 Solutions.pdf - MA103 Lab Report 6 Shapes of...

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MA103 Lab Report 6 - Shapes of CurvesWould you like this assignment Graded?YESorNOName:Student Number:Fall 20161.[5marks]In L°Hospital°s calculus writings from 1696, he illustrated the use of his rule using:limx!af(x) = limx!a°2a3x°x4±1=2°a°a2x±1=3a°(ax3)1=4;wherea >0is a constant:(a) De±nef(x)in Maple:f:=(x)->???(substitute appropriately for???and make use of the * for multiplication)Use the commandsa:=1; limit(f(x),x=a); simplify(%);to evaluatelimx!1f(x):Enter the result in the chart below.Use Maple to complete the chart fora= 2;3;4and then (by looking for a pattern) statelimx!af(x)for anya >0:a1234a >0!af(x)169329163649169a

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