3. Let A c Rn, let BeRm, let a E A, and let I : A \ {a} ~ B.

(a) Suppose that A is open and b:= lim", ____ I(x) exists. If 9 is continuous at b, prove that lim go I(x) = g(b).

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(b) If I is continuous at a E A and 9 is continuous at I

(a) E B, prove that go I is continuous at a E A.