Answer:
1
Step-by-step explanation:
Using the definition
n =
where n! = n(n - 1)(n - 2) × 3 × 2 × 1
and 0! = 1
3
=
=
= = 1
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In case you're not already aware, the expression is called the "difference quotient" and represents the average rate of change of a function
over an interval
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For the function , by substituting
we get
Then the difference quotient is
where the last equality holds as long as .