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Question

limx1f(x)=5, and limx1g(x)=2 find the value of limx1([g(x)]f(x)) ___

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Solution

If limxaf(x) and limxag(x) exists finitely, then
limxa(g(x))f(x)=[limxag(x)]limxaf(x)
limx1([g(x)]f(x))=(limx1g(x))limx1f(x)
= 25
= 32


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