power (as a number and function) and root

• definition and properties - see Functions - Theory - Elementary functions - Powers
• derivative - see Derivatives - Theory - Introduction - Elementary derivatives
• general power, definition and properties - see Functions - Theory - Elementary functions - General powers
• general, integral of - see Integrals - Theory - Methods of integration - Elementary integrals and also Integrals - Theory - Methods of integration - Substitution
• integral of - see Integrals - Theory - Methods of integration - Elementary integrals
• root as a number and function - see Functions - Theory - Elementary functions - Powers
• scale of powers (functions) - see Functions - Theory - Limit - Intuitive evaluation
• scale of powers (for improper integral) - see Integrals - Theory - Introduction - Properties and examples
• scale of powers (sequences) - see Sequences - Theory - Limit - Intuitive evaluation and this note
• and sequences - see Sequences - Theory - Limit - Important examples, also Sequences - Theory - Limit - Intuitive evaluation