f(x)={[1, if x<1],[x, if 1<x]} and g(x)={[x, if x!=2],[3, if x=2]} Evaluate the following



these limits a and b

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(a) As x→0, g(x)=0, f(x)=1, so g(x)/f(x)=0 in the limit.

(b) As x→2, f(x)=2, g(x)→2, so f(x)/g(x)→1 in the limit.

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