Question: Because the form 818 is indeterminate, knowing that functions f and g satisfy _lim f(x) = _lim g(x) = 81X f(x) tells us very

Because the form 818 is indeterminate, knowing that functions f and g

Because the form 818 is indeterminate, knowing that functions f and g satisfy _lim f(x) = _lim g(x) = 81X f(x) tells us very little about lim g(x) f(x) x+x g(x) (a) Find formulas for f and g such that lim (b) Find formulas for f and g such that lim xx g(x) f(x) xx g(x) f(x) xx g(x) (c) Find formulas for f and g such that lim (d) Find formulas for f and g such that lim is an is an is an is an 8 8 8 8 8 8 8 8 form that has a limit of . form that has a limit of 0. form that has a limit of 1. form that has a limit of 13.72. Hint: you can answer each part by choosing f and g to be appropriate polynomials.

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