Maxima, WolframAlpha, mma

Barton Willis via Maxima-discuss <[email protected]> Thu, 2 Jul 2026 18:46:25 +0000
Newsgroups gmane.comp.mathematics.maxima.general
Message-ID <SN6PR07MB795270A6BFF01C314DF6DB0AB6F52@SN6PR07MB7952.namprd07.prod.outlook.com>
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Maxima:

(%i2) limit((sin(1/x)/2)^(1/x^2),x,0);
(%o2) 0

WolframAlpha:

Limit[(Sin[1/x]/2)^(1/x^2),x -> 0]
(insufficient time to determine limit)

Mma 14.1:

Limit[(Sin[1/x]/2)^(1/x^2), x -> 0]
Underscript[\[Limit], x->0]2^(-(1/x^2)) Sin[1/x]^(1/x^2)

--Barton

"I=92m too busy working on my own grass to notice that yours is greener."  =
Unknown

"You wouldn=92t worry so much about what others think of you if you realize=
d how seldom they do."  Eleanor Roosevelt

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<meta http-equiv=3D"Content-Type" content=3D"text/html; charset=3DWindows-1=
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<body dir=3D"ltr">
<div style=3D"font-family: Georgia, serif; font-size: 12pt; color: rgb(0, 0=
, 0);">Maxima:</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
(%i2) limit((sin(1/x)/2)^(1/x^2),x,0);</div>
<div style=3D"font-family: Georgia, serif; font-size: 12pt; color: rgb(0, 0=
, 0);">(%o2) 0</div>
<div style=3D"font-family: Georgia, serif; font-size: 12pt; color: rgb(0, 0=
, 0);"><br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
WolframAlpha:</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
Limit[(Sin[1/x]/2)^(1/x^2),x -&gt; 0]</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
(insufficient time to determine limit)</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
Mma 14.1:</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
Limit[(Sin[1/x]/2)^(1/x^2), x -&gt; 0]</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
Underscript[\[Limit], x-&gt;0]2^(-(1/x^2)) Sin[1/x]^(1/x^2)</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
--Barton</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<i>&quot;I=92m too busy working on my own grass to notice that yours is gre=
ener.&quot; </i>&nbsp;Unknown</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<br>
</div>
<div class=3D"elementToProof" style=3D"font-family: Georgia, serif; font-si=
ze: 12pt; color: rgb(0, 0, 0);">
<i>&quot;You wouldn=92t worry so much about what others think of you if you=
 realized how seldom they do.&quot;
</i>&nbsp;Eleanor Roosevelt</div>
</body>
</html>

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