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Math · Calculus
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For which pair of functions f(x) and g(x) below will the limit as x goes to infinity of the product of f of x and g of x does not equal 0 ?

f(x) = 10x + e−x; g(x) =1 divided by the quantity 5 times x

f(x) = x2; g(x) = e−4x

f(x) =(Lnx)3; g(x) =1 divided by x

f(x) =square root of x; g(x) = e−x

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