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a) (6 points) Suppose f(x) = x+In(kx)+kvx (for k some positive constant) and g(x) = 2x+ ( ) , and set h(x) = f (

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a) (6 points) Suppose f(x) = x+In(kx)+kvx (for k some positive constant) and g(x) = 2x+ ( ) , and set h(x) = f ( x ) 8 ( x ) Find the horizontal asymptote that h approaches in the positive direction. (The definition of a horizontal asymptote is on the front page of this exam if you need it. Write 'NONE' if there is not one.) b) (8 points) Suppose the function f(x) = cos(ax) and g(x) = = (for a some positive constant), and set h(x) = f(x) 8(x) Find the form and calculate the limit: lim h(x). FORM : VALUE

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