When working with limits of functions and sequences, we frequently come across various mathematical oddities, such as: 0/0 or 1/0.
The question is – what do they mean? I often come across completely incorrect opinions like: “at higher levels in mathematics, you can divide by 0”.
Check out the article where I show how to calculate the rank of a matrix with one example.
Sequence limits sometimes use formulas for the sum of arithmetic or geometric sequences. It’s worse if these sequences are given in a “mixed” way in one line, like here.
Harder function limits to calculate often require substitution. Here is an example.
Learn detailed methods for calculating function limits using substitution, how to effectively apply them in limit analysis. Discover why some limits do not exist and how to prove it step by step.
Calculate “a”, knowing that the system of equations is inconsistent.
Instead of systematically starting with the rank of the main matrix, let’s determine the rank of the augmented matrix and apply the Kronecker-Capelli theorem.
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