Prob. 3, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Does this sequence converge? – math.stackexchange.com

Prob. 3, Sec. 3.4, in Bartle & Sherbert's INTRO TO REAL ANALYSIS, 4th ed: Does this sequence converge? – math.stackexchange.com

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Let the sequence $\left( f_n \right)_{n \in \mathbb{N} }$ be given by $$ f_1 \colon= 1, \qquad f_2 \colon= 1, \qquad \mbox{ and } \qquad f_n \colon= f_{n-1} + f_{n-2} \ \mbox{ for all } n \in ...

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