3.7 Derivatives of Logarithmic Functions

Mathematica script by Chris Parrish,
   cparrish@sewanee.edu

Problems from James Stewart,
  "Calculus," Second Edition, Brooks/Cole, 2001

The Number e as a Limit

In[226]:=

f[x_] := (1 + x)^(1/x)                                                                 ... ; {Green, Blue}, AxesLabel {x, None}, PlotLabel->f(x) = (1 + x )   ] ;

[Graphics:HTMLFiles/3.7_derLogFns_2.gif]

In[228]:=

Limit[f[x], x0]

Out[228]=

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Created by Mathematica  (October 12, 2003)