Lesson: Euler’s Number (𝑒) as a Limit Mathematics • Third Year of Secondary School

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In this lesson, we will learn how to use the definition of 𝑒 (Euler’s number) to evaluate some special limits.

Students will be able to

recite the function whose infinite limit is Euler’s number,
recite the function whose limit at zero is Euler’s number,
evaluate infinite limits or limits at zero resulting in expressions containing Euler’s number by using algebraic manipulation, substitution, and the power rule for limits.
recite the the function whose limit at zero is the natural logarithm,
evaluate limits at zero for expressions containing or resulting in the natural logarithm by using algebraic manipulation, substitution, and the power rule for limits.