The sum of the functions f 1 ( x ) , f 2 ( x ) , f 3 ( x ) has the limit L 1 + L 2 + L 3 , if the functions f 1 ( x ) , f 2 ( x ) , f 3 ( x ) have a limits L 1 , L 2 , L 3 respectively, as x → ∞ and also to use mathematical induction to generalize the result to the sum of any finite number of functions.

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Chapter A.4, Problem 1E

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To show: The sum of the functions f1(x),f2(x),f3(x) has the limit L1+L2+L3, if the functions f1(x),f2(x),f3(x) have a limits L1,L2,L3 respectively, as x→∞ and also to use mathematical induction to generalize the result to the sum of any finite number of functions.

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