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I need some help about this error


f[x_] := x^2 - 2
Ne[x_] := x - f[x]/f'[x]
ap = NestList[Ne, 1.5, 5]
tang[h_] := f[h] + f'[h](x - h)
t = tang /@ ap

Plot[{t}, {x, -10, 10}, AxesOrigin -> {0, 0}, 
  PlotRange -> {{-5, 5}, {-3, 5}}] 

Now, How can I plot the last command?

I got the following errors:

Plot::"plnr": "\!\(te[x]\) is not a machine-size real number at
\!\(x\) = \
\!\(-9.999999166666667`\)."
Plot::"plnr": "\!\(te[x]\) is not a machine-size real number at
\!\(x\) = \
\!\(-9.188660168541684`\)."

I want to make a "program" that will plot the successives tangent
lines of approximations of any function (when possible) using the
Newton Methods... any idea on how can I implement or solve that
problem?

Thank you very much!


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