Krystian Karczyński, Author at Blog eTrapez | Page 2 of 15

Limit of the Function: x to the x to the x … What to Do? (Example with Morals)

As a curiosity, I'll calculate the limit of the function: (x^x^x - cosx). More interesting than the calculations...

Rzut elipsy wykrojonej z elipsoidy na płaszczyznę XY

The Volume of an Ellipsoid (But Not a Rotational One, Just a Wild Type) Calculated by a Definite Integral

Let's say we need to calculate the volume of an ellipsoid: {x^2}/4+{y^2}/5+{z^2}/9=1. This is an ellipsoid that intersects...

Co można zrobić, gdy potęgowanie po prostu nie idzie (liczby zespolone)

What to Do When Exponentiation Just Doesn’t Work (Complex Numbers)

There are days when nothing seems to work. And there are examples with complex numbers where nothing goes...

Równania wielomianowe zespolone sprowadzalne do równań kwadratowych

Complex Polynomial Equations Reducible to Quadratic Equations

Many fourth-degree polynomial equations can be transformed into quadratic equations using a well-known high school trick of substitution....

Granice z pierwiastkami trzeciego stopnia

Limits with Cube Roots (Is it Multiplication by Conjugate?)

When given a limit to calculate that involves some subtraction with a root (and which obviously couldn't be...