Lecture
Let function defined around the number (at function ƒ may not be defined). The number A is called the limit of the function. with x tending to ( ), if for any arbitrarily small number ε > 0 there exists a number δ > 0 such that for all x satisfying the condition inequality holds .
Expression means the limit function with x tending to is equal to a.
If for any arbitrarily large positive number M there is a number δ > 0 such that for all x satisfying the condition inequality holds then say function is infinitely large when x tends to and write down: .
If this value , then write: , what if , then write: . If a then function is called an infinitely small value when x tends to .
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Mathematical analysis. Differential calculus
Terms: Mathematical analysis. Differential calculus