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Jerry Ritter
Mathematics
12 April, 08:29
Find the limit as x approaches 0. 1-cos3x/sin3x.
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Blaine Craig
12 April, 08:42
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The limit as x approches 0 of (1 - cos3x) / sin3x = the limit as x approches 0 of 3sin 3x / 3cos 3x = 3sin 0 / 3 cos 0 = 0/3 = 0.
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Cristopher
12 April, 08:56
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The main formula is lim (1 - cos X) / X = 0, when X approaches 0, and
lim sinX / X = 1 when X approaches 0
lim (1-cos3x/sin3x) = lim (3x/3x) (1-cos3x/sin3x) = lim [ (1-cos3x) / 3x].[lim
X approaches 0 X approaches 0 X approaches 0
1 / (sin3x/3x) ] = 0 x 1/1=0
finally lim (1-cos3x/sin3x) = 0
X approaches 0
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