Recent content by iLink
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Taylor Series, Binomial Series, Third Order Optics
Thanks for the help. I'll give what you said a shot in the morning. At this point, I'm doing this for myself since we already turned it in. :P I don't like to give up on problems. I'll update this later if I run into anything.- iLink
- Post #5
- Forum: Calculus and Beyond Homework Help
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Taylor Series, Binomial Series, Third Order Optics
I used sin ϕ for ϕ because it says that in the hint as noted above. I don't think binomial theorem works. If it does, I can't see it. My confusion lies in two parts: 1. How do you find the first two terms in the binomial series for ℓ^{-1}_o and ℓ^{-1}_i? 2. Where does the h come from in the...- iLink
- Post #3
- Forum: Calculus and Beyond Homework Help
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Taylor Series, Binomial Series, Third Order Optics
Homework Statement Show that if cosΦ is replaced by its third-degree Taylor polynomial in Equation 2, then Equation 1 becomes Equation 4 for third-order optics. [Hint: Use the first two terms in the binomial series for ℓ^{-1}_o and ℓ^{-1}_i. Also, use Φ ≈ sinΦ.] Homework Equations Sorry that...- iLink
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- Binomial Optics Series Taylor Taylor series
- Replies: 4
- Forum: Calculus and Beyond Homework Help