Unformatted text preview: rational function formula are convergent. Only those sequences whose nth term formula has a horizontal asymptote y = k, k a real number, will converge. 4. . All sequences whose nth term formula is a composition f(g(x)) will converge only if both f and g are convergent. Not necessarily. If f g x k ( ( )) , → k a real number, as n increases without bound, then the sequence is convergent. 5. All sequences whose nth term is a periodic function are divergent. Not necessarily. See the answer above. If the periodic function is f of f ( g ( x )) and g ( x ) converges to a real number, then the sequence is convergent....
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 Fall '08
 GERMAN
 Calculus, PreCalculus, nth term

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