Lecture
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