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Question

Let an = n

n + 1

. Find a number M such that:

(a) |an − 1| ≤ 0.001 for n ≥ M.

(b) |an − 1| ≤ 0.00001 for n ≥ M.

Then use the limit definition to prove that lim

n→∞

an = 1.

Tagged in

Math

Calculus

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