Q. 10 - Calculus

Question

the definition of the number e in terms of a limit.

Step-by-Step Solution

Answer

the expression that defines the number e in terms of a limit is, 

$e=\underset{h\to 0}{\lim }{(1+h)}^{\frac{1}{h}}$

Step 1. Definition of e.

The given topic whose definition is asked is number e.

Step 2. Definition of e.

The number e is defined as the number that ${(1+h)}^{\frac{1}{h}}$approaches as h approaches zero.

$e=\underset{h\to 0}{\lim }{(1+h)}^{\frac{1}{h}}$