Lecture
Game: Perform tasks and rest cool.2 people play!
Play game Let be and
- infinitely small with
.
If a then
is infinitely small of a higher order compared to
. In this case, it is said that
there is " about small" from
and write down:
.
If a where k is a non-zero number, then
and
- infinitely small one order . In this case, it is said that
there is " Oh big" from
and write down:
.
In the particular case, if then infinitesimal
and
called equivalent and write:
~
.
If a then
. Consequently,
is infinitely small of a higher order compared to
(
).
In calculating the limits, the following infinitesimal equivalence is often used:
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Mathematical analysis. Differential calculus
Terms: Mathematical analysis. Differential calculus