Re: opponents of taylor and l'hospital ?

In article
<7402283.1209915170853.JavaMail.jakarta@xxxxxxxxxxxxxxxxxxxxxx>,
amy666 <tommy1729@xxxxxxxxxxx> wrote:

some while ago when talking about limits , i used l'hospitals rule or taylor
series.

i was then told by certain people that they dont like l'hospitals rule nor
taylor series.

they said l'hospitals rule was overrated !

can those people plz explain what is it that makes them opponents of
l'hospital rule and taylor series ??

i dont see a downside of l'hospitals rule ?

There's an objection to using l'Hopital to do
limit as x goes to zero of (sin x) over x.

The objection is that to use l'Hopital, you need to know
the derivative of sin x --- but to know the derivative
of sin x, you have to know the limit as x goes to zero
of (sin x) over x, so using l'H is circular (no pun intended)
reasoning.

--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.

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