Stirling's formula: Euler's integral and Gaussian integral

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Covers big-O estimates for factorial function and combinations of functions.

Explores the properties and graph of the natural logarithm function, emphasizing its bijectivity and the Euler's number 'e'.

Explores the definition, properties, and limits of the natural logarithm function.

Explains binary search, the logarithm function, and recursive algorithms for factorial and Fibonacci sequences.

Covers the properties of limits related to exponential and logarithmic functions.

Explores advanced big-O facts for powers, logarithms, factorials, and function combinations.

Explores trigonometric derivatives, composition of functions, and inflection points in differential calculation.

Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.

Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.

Delves into Taylor polynomials, showcasing how higher orders improve function approximations and how they can be used to calculate limits.