• Support PF! Buy your school textbooks, materials and every day products Here!

Unbounded Sequence

  • Thread starter gottfried
  • Start date
  • #1
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
9,507
729

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
119
0
I was pretty sure it was something simple. Thanks!
 

Related Threads for: Unbounded Sequence

  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
16
Views
1K
  • Last Post
Replies
5
Views
6K
  • Last Post
Replies
2
Views
1K
  • Last Post
Replies
1
Views
721
Replies
7
Views
2K
  • Last Post
Replies
16
Views
10K
  • Last Post
Replies
4
Views
703
Top