Abstract
We prove that the well-known Lagrange formula, the Darboux property and a classical result concerning the connected graph of a differentiable function are specific for ${\mathbb R}$, and surprisingly, the rule of L'H\^opital is also true for the vector case.
Citation
Dumitru Popa. "On the Vector Form of the Lagrange Formula, the Darboux Property and LʼHôpitalʼs Rule." Real Anal. Exchange 25 (2) 787 - 794, 1999/2000.
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