Práctica 2. Soluciones

Práctica 2. Soluciones - PRCTICA 2 SUCESIONES Y...

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1 PRÁCTICA 2: SUCESIONES Y SERIES (Selección de ejercicios de Cálculo y Geometría Analítica de Larson-Hostetler) 1- Escribir los cinco primeros términos de las siguientes sucesiones: a) n n a 2 = sol: { } ... 32 , 16 , 8 , 4 , 2 = n a b) n n a - = 2 1 sol: - - - = ... 32 1 , 16 1 , 8 1 , 4 1 , 2 1 n a c) 1 + = n n a n sol: = ... 6 5 , 5 4 , 4 3 , 3 2 , 2 1 n a d) ! 3 n a n n = sol: = ... 120 243 , 24 81 , 6 27 , 2 9 , 3 n a e) 2 1 1 5 n n a n + - = sol: = ... 25 121 , 16 77 , 9 43 , 4 19 , 5 n a f) ( ( 2 2 1 1 n a n n n + - = sol: - - - = ... 25 1 , 16 1 , 9 1 , 4 1 , 1 n a 2- Analizar la convergencia o divergencia de las siguientes sucesiones. Si la sucesión converge, determinar su límite. a) n n a n 1 = sol: la sucesión converge, 1 lim = n n a b) ( n n a 1 - = sol: la sucesión diverge c) ( 29 + - = 1 1 n n a n n sol: la sucesión diverge d) 2 3 1 n a n = sol: la sucesión converge, 0 lim = n n a
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2 e) 1 2 4 3 2 2 + - = n n n a n sol: la sucesión converge, 2 3 lim = n n a f) ( 29
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