Unformatted text preview: g (3) to make g continuous at x = 3? Justify your answer. (IV): Consider the sequence given recursively by a n +1 = √ a n + 1 and a 1 = 1 . (a) Explain why a n + 1 ≥ a 2 n for all n . (b) Is this sequence bounded? If so give a bound, and if not, explain why not. (Hint: Consider part (a) and the set of all x with x + 1 ≥ x 2 ). (c) Is this sequence convergent? If so, explain why and compute the limit. If not, explain why not....
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 Fall '08
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 Calculus, Topology, Limits, 3 g

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