Question: Let (a) Show that if |x 2| Observe that if |x 2| 12. (b) Find > 0 such that if |x

Let f(x) = 1 x + 2

(a) Show that if |x − 2|  Observe that if |x − 2| 12.

(b) Find δ > 0 such that if |x − 2|

(c) Prove rigorously that lim f(x) = 1. X-2

f(x) = 1 x + 2

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