exercise:1cae9d071a: Difference between revisions

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(Replaced content with "Show that in Lemma indeed <math>a_0\in(1,\sqrt{5}-1)</math> holds. ''Hint:'' Establish first that <math>\exp(x)\leqslant 1+x+x^2/2</math> holds for <math>x\leqslant0</math>.")
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Show that in [[#WC-LEM |Lemma]] indeed <math>a_0\in(1,\sqrt{5}-1)</math> holds.
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\label{Pa0} Show that in [[#WC-LEM |Lemma]] indeed <math>a_0\in(1,\sqrt{5}-1)</math> holds.
\smallskip
{
\small
''Hint:'' Establish first that <math>\exp(x)\leqslant 1+x+x^2/2</math> holds for <math>x\leqslant0</math>.
''Hint:'' Establish first that <math>\exp(x)\leqslant 1+x+x^2/2</math> holds for <math>x\leqslant0</math>.
}

Revision as of 01:46, 1 June 2024

Show that in Lemma indeed [math]a_0\in(1,\sqrt{5}-1)[/math] holds.

Hint: Establish first that [math]\exp(x)\leqslant 1+x+x^2/2[/math] holds for [math]x\leqslant0[/math].

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