Image:BracketingE1.png

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[edit] Summary

Description

Illustration of bracketing

\frac{\exp(-x)}{2}\!~\ln\!\left(1+\frac{2}{x}\right) <{\rm E}_1(x)< \exp(-x)\!~\ln\!\left(1+\frac{1}{x} \right) ~~~,~~~~~x\!>\!0

of the w:exponential integral ~{\rm E}_1(x)~ (black) with elementary functions \frac{\exp(-x)}{2}\!~\ln\!\left(1+\frac{2}{x}\right) ~ (red) and ~ \exp(-x)\!~\ln\!\left(1+\frac{1}{x} \right) ~ (blue).
Source

self-made
Date

2008
Author

Domitori
Permission
(Reusing this image)

Use it!
Other versions not yet.

[edit] Licensing

Public domain I, the copyright holder of this work, hereby release it into the public domain. This applies worldwide.

In case this is not legally possible:
I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

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w:Exponential integral

File history

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Date/TimeDimensionsUserComment
current23:36, 4 February 20081,110×1,110 (51 KB)Domitori ({{Information |Description=Illustration of bracketing :<math> \frac{\exp(-x)}{2}\!~\ln\!\left(1+\frac{2}{x}\right) <{\rm E}_1(x)< \exp(-x)\!~\ln\!\left(1+\frac{1}{x} \right) ~~~,~~~~~x\!>\!0</math> of the w:exponential integral <math}~{\rm E}_1(x)~</m)
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