Unbounded Sequence

  • Thread starter gottfried
  • Start date
  • #1
gottfried
119
0

Homework Statement


Is the sequence xn=[(n5+7n+3)7]/[(7-n4)6] bounded?


]



The Attempt at a Solution



I've managed to tell that the sequence is not bound because as n tends to ∞ xn also tends to ∞ but it took me a relatively long time.
Is there any way of telling this by just looking at the exponents or what is the quickiest way to tell that this sequence will get infinitely large.
 

Answers and Replies

  • #2
LCKurtz
Science Advisor
Homework Helper
Insights Author
Gold Member
9,568
774

Homework Statement


Is the sequence xn=[(n5+7n+3)7]/[(7-n4)6] bounded?


]



The Attempt at a Solution



I've managed to tell that the sequence is not bound because as n tends to ∞ xn also tends to ∞ but it took me a relatively long time.
Is there any way of telling this by just looking at the exponents or what is the quickiest way to tell that this sequence will get infinitely large.

The highest degree of n in the numerator is 35 and in the denominator is 24. That's all you need to know.
 
  • #3
gottfried
119
0
I was pretty sure it was something simple. Thanks!
 

Suggested for: Unbounded Sequence

Replies
10
Views
522
Replies
5
Views
365
  • Last Post
Replies
1
Views
317
  • Last Post
Replies
16
Views
2K
  • Last Post
Replies
3
Views
458
Replies
8
Views
741
Replies
13
Views
406
Replies
9
Views
563
Replies
11
Views
1K
Top