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Question

If limxa[f(x)+g(x)]=10 and limxaf(x)=2, then find the value of limxag(x), provided that limxaf(x) and limxag(x) exists ___


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Solution

If the limits limxaf(x) and limxag(x) exist, then limxa[f(x)+g(x)]=limxaf(x)+limxag(x)

10=2+limxag(x)

limxag(x)=8


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