Limit as x approaches infinity, involves sinx and cosx

  • Thread starter rygza
  • Start date
  • #1
rygza
38
0
y=1/2(sinx-cosx+e(^pi-x))

question: if x approaches infinity, which term or terms will dominate?
from my understanding, sinx and cosx will oscillate and the e term will approach zero. so would the answer be sinx-cosx?

plz and ty
 

Answers and Replies

  • #2
ptolema
83
0
since the e^(pi-x) term approaches 0, it has no real impact on the sin x and cos x terms. the oscillating terms mean that the limit DNE, not that the limit is sin x-cos x (answer should not be in terms of x, anyway)
 

Suggested for: Limit as x approaches infinity, involves sinx and cosx

Replies
26
Views
1K
Replies
44
Views
2K
Replies
15
Views
696
Replies
15
Views
2K
  • Last Post
Replies
5
Views
1K
  • Last Post
Replies
2
Views
1K
Replies
13
Views
1K
  • Last Post
Replies
9
Views
141
Replies
14
Views
456
Top