No existe y f x no es continua en x 4 La discontinuidad es inevitable de salto

No existe y f x no es continua en x 4 la

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No existe y f ( x ) no es continua en x = 4. La discontinuidad es inevitable de salto finito. Halla el término general de las sucesiones cuyos primeros términos son: a) 1, 1, 1, 1, … b) 1, 2, 4, 8, … a) a n = ( 1) n 1 b) a n = 2 n 1 Con ayuda de la calculadora, halla el límite de esta sucesión definida de forma recurrente. a 1 = 1 a 1 = 1 Los términos de la sucesión se aproximan a: Calcula el límite de la siguiente sucesión con ayuda de la tabla. lim n n a = + a n n n = + 2 1 2 1 035 1 2 0 7071 = , a 3 29 41 0 70731 = = , a 5 985 1 393 0 707106 = = . , a 2 5 7 0 71428 = = , a 4 169 239 0 70711 = = , a a a n n n = + + 3 2 4 3 1 1 034 033 lim x f x 4 ( ) lim lim x x f x f x 4 4 4 5 + = = ( ) ( ) = f f x x ( ) ( ) 1 1 lim lim lim lim x x x f x f x 1 1 1 1 1 + = = ( ) ( ) f x ( ) = 1 lim x f x 0 ( ) lim lim x x f x f x 0 0 + = − = + ( ) ( ) n 5 50 500 5.000 50.000 a n 2,18 24,74 249,74 2.499,74 24.999,74
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391 9 SOLUCIONARIO Comprueba la igualdad con ayuda de la tabla. Halla los siguientes límites de sucesiones. a) c) b) d) a) b) c) d) Obtén los resultados de: a) b) c) a) b) c) lim n n n n n 5 2 6 6 0 3 2 + = lim n n n n n 8 3 2 2 8 2 4 2 2 3 4 + + + = = lim n n n n n 8 3 2 2 2 3 4 + + + lim n n n n 4 3 3 1 2 3 2 + + = lim n n n n 4 3 3 1 2 + + lim n n n n n 5 2 6 6 3 2 + lim n n n n n 8 3 2 2 2 3 4 + + + lim n n n n 4 3 3 1 2 + + 038 lim lim n n n n n n 6 1 2 4 9 5 3 6 2 2 + + + = 13 6 2 0 ( ) n + = lim n n n n n 6 1 2 4 9 5 3 6 2 2 + + + lim lim n n n n n n n 2 4 2 7 2 1 4 2 + + = 7 2 1 2 n + = lim n n n n n 2 4 2 7 2 1 2 + + lim lim n n n n n n n n 2 2 3 2 3 3 2 + + = 3 2 7 6 3 9 + + = − n n n lim n n n n n n 2 2 3 2 3 3 + + lim lim n n n n n n n n 5 3 2 1 4 2 2 + + = 3 2 2 3 6 4 3 + + = + n n n n lim n n n n n n 5 3 2 1 2 2 + + lim n n n n n 6 1 2 4 9 5 3 6 2 2 + + + lim n n n n n n 2 2 3 2 3 3 + + lim n n n n n 2 4 2 7 2 1 2 + + lim n n n n n n 5 3 2 1 2 2 + + 037 lim n n n 4 6 2 1 3 + = − 036 n 5 50 500 5.000 50.000 a n 2,36 2,93 2,993 2,9993 2,9999
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392 Límite de una función Determina los límites.
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