Re: opponents of taylor and l'hospital ?

On Mon, 05 May 2008 00:27:58 GMT, Gerry Myerson
<gerry@xxxxxxxxxxxxxxxxxxxxxxxxx> wrote:


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.

I don't recall ever seeing the limit for sin(x)/x developed in any
calculus book by using L'Hospital's rule. Have you?

--Lynn
.

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