Question: I just need some help with this Topology question 2. (30 pts) Define g : R - R by g(x) = sin(1/x) + cos(1/x) if

I just need some help with this Topology question

I just need some help with this Topology question 2. (30 pts)

2. (30 pts) Define g : R - R by g(x) = sin(1/x) + cos(1/x) if x / 0 and g(0) = 1 if x = 0. Use the notion of limits to prove that g is discontinuous at r = 0. Here R = (-00, 0o)

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