# Subtract from 3, Divide by 3, Repeat

Calculus Level 3

$a_{n} = \dfrac{3 - a_{n-1} } {3}, \quad a_1 = 0$

A sequence of real numbers $$\{ a_{n} \}$$ follows the recursive formula above.

What is $$\displaystyle \lim_{n \to \infty } a_{n}$$?

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