a name? That which we call a rose
By any other name would smell as sweet."
Romeo and Juliet (II, ii, 1-2)
Taylor's Theorem was stated in 1712 by Brook Taylor
(1685-1731), forty one years after it was originally
announced in 1671 by James Gregory (1638-1675). And special
cases were already known by Madhava of Sanyamagrama (1350-1425).
Of course Colin Maclaurin (1698-1746) did not discover
the Maclaurin series. He discovered the integral test for the
convergence of infinite series.
Gabriel Cramer (1704-1752) published Cramer's rule two
years after it was published by Colin Maclaurin.
Stokes' Theorem was not discovered by Gabriel Stokes
(1819-1903) at all. It was discovered by William Thomson, a.k.a.
Lord Kelvin (1824-1907).
[In fact my friend Okan Tekman informed me that this theorem
has a longer and more convoluted history. See
Stirling's formula was not discovered by James
Stirling (1692-1770) but was discovered by Abraham de Moivre
So, before the historians come in, here is Sertoz
(3/4)+(2/12)+(1/14) = (83/84) < 1, so the first limit does
not exist, but (3/4)+(2/12)+(2/14) = (89/84) > 1, so the
second limit exists and is zero.
Note added on 28 March 2014:
It should be added that the L'hospital's rule was not
discovered by Guillaume L'Hospital (1661-1704) but was a
theorem of Johann Bernoulli (1667-1748).
Recently there is some work to generalize L'Hospital's rule to
See for example Gary
R. Lawlor and V.
V. Ivlev and I. A. Shilin.