16
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Bug introduced in 9.0 and fixed in 10.0.0 and reintroduced in 11.2


Mathematica 9 on Windows and WolframAlpha says

Limit[Sin[Sqrt[x+1]]-Sin[Sqrt[x]],x->Infinity]

is Interval[{-2,2}]. But actually the limit is 0.

Limit[TrigFactor[Sin[Sqrt[x+1]]-Sin[Sqrt[x]]],x->Infinity]

gives 0 correctly.

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  • 5
    $\begingroup$ This is apparently a v9 bug. Version 8.04, 10.0.2, 10.1 and 10.2 all give 0. $\endgroup$ – Sjoerd C. de Vries Sep 20 '15 at 11:29
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    $\begingroup$ I'm voting to close this question as off-topic because Bug introduced in 9.0 and fixed in 10.0.0 $\endgroup$ – user9660 Oct 28 '15 at 14:45
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    $\begingroup$ @Lou I'd rather leave this for V9 users. $\endgroup$ – Kuba Oct 28 '15 at 16:08
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    $\begingroup$ In v11.2, first limit has gone back to Interval[{-2, 2}] $\endgroup$ – Bob Hanlon Sep 17 '17 at 2:37
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    $\begingroup$ Sorry about that. 11.3 should get it right again. $\endgroup$ – Daniel Lichtblau Sep 18 '17 at 16:47
5
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Case closed but the topic should be left here for future visitors who use V9.

So:

Bug introduced in 9.0 and fixed in 10.0.0

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  • $\begingroup$ In the spirit of community and user-oriented, Thanks! $\endgroup$ – user9660 Oct 28 '15 at 17:05
  • $\begingroup$ @Lou Thanks comrade :) $\endgroup$ – Kuba Oct 28 '15 at 17:10

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