Module 4 – Exponential and Logarithmic Functions

Section-by-Section Learning Objectives

Section 4.2 – The Number e and ‘Natural’ Exponential Functions

Section Learning Objectives

·         Understand the definition of the number e as a limit and its use in the study of limiting cases of various growth problems

·         Use formulas involving e to solve financial problems involving “continuously compounded interest” and other applications involving continuous proportional growth rates

·         Use the known approximate value of e to estimate expressions in which it occurs and to quickly sketch graphs of functions defined by formulas in which it appears


Go to:   module learning objectives   notes for this section.