00 Vn2 + 1 Prove that the sequence {an}n=1 converges by following the following sequence of steps. n=1 (a) Prove that {a%} is bounded. n=1 (b) Prove that {a%}-1 is decreasing. n=1 (c) In a previous HW assignment we showed that if 0 < a < b, then 0 < vā < Vb. Use this result to complete the proof.

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A: an =nn+1a1 = 11+1 a1 =12a2 = 22+1 a2 =23a3 = 33+1 a3 =34a4 = 44+1 a4 =45a5 = 55+1 a5 =56

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