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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