Question: (a) Determine whether or not each function is continuous at the indicated point.[8 marks](i)g(x)={[x3-7,,x <2],[1,,x=2],[sin(2x+-42),,x>2]];x=2(ii)h(x)=x3-2x2-x+2x2+x-2;x=-2(b) Define each of the following functions atx=3to render them continuous

(a) Determine whether or not each function is continuous at the indicated point.[8 marks](i)g(x)={[x3-7,,x<2],[1,,x=2],[sin(2x+-42),,x>2]];x=2(ii)h(x)=x3-2x2-x+2x2+x-2;x=-2(b) Define each of the following functions atx=3to render them continuous there: [10 marks](i)f(x)=x+12-2x-3(ii)g(x)=x2-6x+142-52(x-3)x+22

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