UBA XXI Apunte Practica 7 Sucesiones

f  :

N→R

f (1)

f (2) f 1 , f 2 , f 3 ...

f 

a(n) =  a n =  n 2 − 1 b(n) =  b n  =

3 n+5

an  = 0, 3, 8, 15... bn  = 21 , 73 , 83 , 31 ...

an a5

cn  = 1, 2, 4...

cn  = 2n

1

−

cn =

n(n−1)

1

an  = 2n

−

an  = 1, 2, 4, 8, 16... an  = 2an

1;

−

a1 = 1

2

+1

a7  = 2a6

a6  = 2a5 bn = 3, 6, 12, 24, 48... an

f n = f n

1

−

+  f n

2

−

f 3 f 1  +  f 2 f 1  =  f 2 = 1

f (x) = x2 − 3 an = n2 − 3

n

lim

n→+∞

2

n

 = +∞

−3

lim

n→+∞

2n + 3 n−1

2x + 3 x−1

f (x) =

lim

2x + 3 L H  2 = lim = 2 n + 1 x−1 

n→+∞

→

∞

n n  = 1 n  = 2

a0

a1

an

 n + 1 =  3

n−5

si n ≤ 5 si n ≥ 6