Learning that limit is 0 from above

• Subject: Learning that limit is 0 from above
• From: Jaime Villate
• Date: Thu, 01 Nov 2007 23:46:40 +0000

On Thu, 2007-11-01 at 16:02 +0000, Paul Smith wrote:
> I do not know which one of the following sentences is wrong:
> 
> 1. Maxima is wrong;
> 
> 2. The Taylor series method does not apply here;
> 
> 3. Maple is wrong

It seems to me that the limit is 0+ and not 0- as the Maxima result
wrongly suggests:

(%i11) k: 0.75$
(%i12) a:1$
(%i13) assume(b>1)$
(%i14) e : (1/(b-a))*integrate((1-k)*((2*t-a)/k)^(k/(k-1)),t,a,b)$
(%i15) plot2d(e,[b,2,100]);

Regards,
Jaime Villate

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