To address the following exercises, it may be necessary to know some fundamental results in Analysis and Differential Calculus that may be found e.g. in
[
17
]
; specifically:
Lagrange’s Theorem 1 : Theorem 5.10 in in
[
17
]
, or
[
.
De l’Hôpital’ rule, and corollaries: : Theorem 5.13 in in
[
17
]
, Sec. 7.12 in
[
or
[
;
Taylor’s Theorem, and the possible remainders: Theorem 5.15 in in
[
17
]
, Chap. 7 in
[
, or
[
59
]
.
