Limit as x approaches infinity, involves sinx and cosx

  • Thread starter rygza
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  • #1
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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
83
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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)
 

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