Define {an} by a 1111 and an+1 = = Show that an - 5 1/an-1...

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Define {an} by a₁ 1111 and an+1 = = Show that an - √5 ≤ 1/an-1 - √5] for all n ≥ 2 where is the golden ratio Hence prove by epsilon-delta that limn→∞an = √5 an+5 for n ≥ 1 an+1 Define {an} by a₁ 1111 and an+1 = = Show that an - √5 ≤ 1/an-1 - √5] for all n ≥ 2 where is the golden ratio Hence prove by epsilon-delta that limn→∞an = √5 an+5 for n ≥ 1 an+1

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Step 1 Finding the limit of the sequence an5 Given an1 an1 Let lim an n an1 15 1 11 1 5 0 ... View the full answer