Limit of \(\displaystyle{\cos{{\left({k}{t}+{k}{u}{x}\right)}}}\) as \(\displaystyle{k}\to{0}\) where \(\displaystyle{k}={2}\sqrt{{{1}-{a}^{{2}}}}\)

Zack Mora

Zack Mora

Answered question

2022-03-24

Limit of cos(kt+kux) as k0
where
k=21a2
u=b(6k2)
and a and b are real numbers?

Answer & Explanation

Chelsea Chen

Chelsea Chen

Beginner2022-03-25Added 5 answers

For small cos(z)1z22. For small k,u6b. Then
cos(k(x+6bt))1k22(t+6xb)2

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