Subtract from 3, Divide by 3, Repeat

Calculus Level 3

an=3an13,a1=0 a_{n} = \dfrac{3 - a_{n-1} } {3}, \quad a_1 = 0

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

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

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