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Timiavawsw9 2022-05-23 Answered
Find the limit of:
lim x π 3 1 2 cos x π 3 x
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Answers (2)

AlokMoopisppf
Answered 2022-05-24 Author has 5 answers
Use l'Hôpital's rule:
lim x π 3 1 2 cos ( x ) π 3 x = lim x π 3 2 sin ( x ) 3 = 2 3 lim x π 3 sin ( x ) = 2 3 sin ( π 3 ) = 2 3 3 2 = 1 3
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tomekmusicd9
Answered 2022-05-25 Author has 2 answers
Put x = π 3 + h. Then the given limit is
lim h 0 1 2 cos ( π 3 + h ) 3 h = lim h 0 1 cos h + 3 sin h 3 h = lim h 0 2 sin 2 h 2 3 h + lim h 0 3 sin h 3 h = 1 3
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