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OpenStudy (anonymous):
lim t->0 t^3 /tan^3(2t) ????
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OpenStudy (anonymous):
Near 0z we have tan x behave like x so our limit behaves like t^3/(8t^3) = 1/8
OpenStudy (anonymous):
as \(t\to0\) we observe \(\tan 2t\approx2t\) and therefore \(\tan^32t\approx(2t)^3=8t^3\)
OpenStudy (primeralph):
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