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Related lectures (31)
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Natural Logarithm: Properties and Inequalities
Covers properties and inequalities of the natural logarithm function, including solving related inequalities.
Natural Logarithm: Definition and Properties
Explores the definition, properties, and limits of the natural logarithm function.
Generalized Powers: Derivatives and Exponentials
Covers properties of logarithms, derivatives, exponentials, and sine-cosine functions.
Natural Logarithm: Graph
Explores the properties and graph of the natural logarithm function, emphasizing its bijectivity and the Euler's number 'e'.
Power Functions: Properties and Derivatives
Covers properties of logarithms, power functions, and their derivatives, with examples illustrating key concepts.
Taylor Polynomials: Approximating Functions with Taylor Polynomials
Delves into Taylor polynomials, showcasing how higher orders improve function approximations and how they can be used to calculate limits.
Dynamics on homogeneous spaces and interactions with number theory
Explores dynamics on homogeneous spaces, Khintchine theorem, Sullivan's logarithm law, and interactions with number theory.
Algebraic Identities and Trigonometry
Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.
Limit Study: Sinus and Logarithm
Focuses on studying a limit involving sinus and logarithm functions as x approaches positive infinity.
Exponential Function: Properties and Definitions
Explores the properties and definitions of the exponential function and its relation to the natural logarithm.