On Wed, Sep 23, 2009 at 4:26 AM, Reinhard Oldenburg
<oldenbur at math.uni-frankfurt.de> wrote:
> diffquot(f,x,h):=(f(x+h)-f(x))/h;
> The error occurs with the following demo function:
> f3(x):=sin(3*x-5);
>
> Only the last two of the following commands yield the correct result,
> the first gives infinity.
> limit(diffquot(f3,x,h),h,0);
Rats. I notice that tlimit (use Taylor series) and gruntz both yield
3*cos(3*x - 5) as expected.
FWIW
Robert Dodier