Month: June 2024

Całki nieoznaczone wymierne - wielomian trzeciego stopnia w mianowniku

Indefinite Rational Integrals – Third-Degree Polynomial in the Denominator

In indefinite rational integrals, as we know, it is often necessary to factorize the denominator of the integrand...

Dlaczego wykres funkcji nie może mieć dwóch asymptot ukośnych

Why can’t a function graph have two oblique asymptotes as x approaches positive infinity?

To answer the question posed in the title, we don't need to go back to the definition of...

Symbol 0 w granicach funkcji i ciągów

The Symbol 0 in the Limits of Functions and Sequences

When working with limits of functions and sequences, we frequently come across various mathematical oddities, such as: 0/0...

Rząd macierzy z parametrem

The Rank of a Matrix with a Parameter

Check out the article where I show how to calculate the rank of a matrix with one example.

Granica ciągu z dwiema zmiksowanymi sumami ciągów arytmetycznych

The Limit of a Sequence with Two Mixed Sums of Arithmetic Sequences

Sequence limits sometimes use formulas for the sum of arithmetic or geometric sequences. It's worse if these sequences...