$\"\"$

(a)

Definition of the number $\"\"$ :

$\"\"$ is a number such that $\"\"$ .

$\"\"$

(b)

Limit definiton of $\"\"$ is $\"\"$ .

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Observe the values in the table,

As $\"\"$ approches larger values, then the value of $\"\"$ tends to $\"\"$ .

Therefore, $\"\"$ .

$\"\"$

(c)

Natural exponential function :

Natural exponential function is an exponential function with base $\"\"$ .

$\"\"$ .

$\"\"$

(a) $\"\"$ is a number such that $\"\"$ .

(b) $\"\"$