Functions xr on [1, +∞]

Related lectures (30)

Page 3 of 3

Covers the properties of integrals, including definies integrals, integrables functions, and the theorem of the average.

Covers the concept of level sets of functions and their graphical representation.

Covers the definition of limits and continuous functions with examples and exercises.

Explores differentiating under the integral sign and conditions for differentiation, with examples and extensions to functions on open intervals.

Explores decreasing and growing functions, bounded sequences, and limit existence.

Explores limits, convergence, and boundedness of functions and sequences.

Explores real functions, covering parity, periodicity, and polynomial functions.

Explains limits at right and left endpoints, convergence conditions, and function behavior near specific values.

Covers the motivation behind indefinite integrals and the non-injectivity of the derivative operator.

Explores infinite limits at a point and their properties, including lateral infinite limits and comparisons with sequences.