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A330187
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Decimal expansion of the real zero (negated) of the 5th Maclaurin polynomial of e^x.
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0
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2, 1, 8, 0, 6, 0, 7, 1, 2, 4, 0, 3, 5, 1, 2, 5, 9, 0, 4, 4, 9, 7, 8, 3, 5, 9, 2, 6, 9, 9, 2, 0, 4, 9, 0, 9, 0, 6, 3, 0, 5, 6, 0, 6, 7, 4, 4, 4, 2, 9, 8, 8, 7, 2, 6, 7, 1, 2, 3, 3, 4, 9, 8, 0, 4, 1, 3, 8, 4, 8, 7, 3, 1, 0, 5, 5, 4, 2, 8, 2, 0, 0, 6, 3, 7, 4
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OFFSET
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1,1
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LINKS
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EXAMPLE
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Real zero = -2.18060712403512590449783592699204909063056067444298872671...
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MATHEMATICA
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z = 150; p[n_, x_] := Normal[Series[E^x, {x, 0, n}]];
t = x /. NSolve[p[5, x] == 0, x, z][[1]]
RealDigits[t][[1]]
Plot[Evaluate[p[5, x]], {x, -3, 1}]
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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