"What's
in 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 Thomas, a.k.a. Lord Kelvin (1824-1907).
Stirling's formula was not discovered by James Stirling (1692-1770) but was discovered by Abraham de Moivre (1667-1754).
So, before the historians come in, here is Sertoz Theorem:
For a proof of the theorem, follow this link.
---Here is an application:
Here is the answer:
(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.
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