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il63 [147K]
2 years ago
7

How do you expand n! and (n+1)!

Mathematics
2 answers:
andreev551 [17]2 years ago
6 0

Answer:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Step-by-step explanation:

ELEN [110]2 years ago
3 0

Step-by-step explanation:

n! = n × n−2 × n−3 × ... × 2 × 1

(n+1)! = n+1 × n × n−2 × n−3 × ... × 2 × 1

(n+1)! = (n+1) n!

Therefore:

lim(n→∞) (n! / (n+1)!)

lim(n→∞) (n! / ((n+1) n!))

lim(n→∞) (1 / (n+1))

0

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