lim x-->0 tan3x/tan2x = 3/2 - have to write out the algebraic steps needed to discover that this is = 3/2.I don't get math of why we break this out into (sin3x/cos3x)/(sin2x/cos2x), then times it by 1/2x and 3x, etc....just seems like there should be an easy way to think about extracting the 3/2.
lim x-->0 tan3x/tan2x = 3/2 - have to write out the algebraic steps needed to discover that this is = 3/2.I don't get math of why we break this out into (sin3x/cos3x)/(sin2x/cos2x), then times it by 1/2x and 3x, etc....just seems like there should be an easy way to think about extracting the 3/2.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.3: Trigonometric Functions Of Real Numbers
Problem 40E
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lim x-->0 tan3x/tan2x = 3/2 - have to write out the algebraic steps needed to discover that this is = 3/2.
I don't get math of why we break this out into (sin3x/cos3x)/(sin2x/cos2x), then times it by 1/2x and 3x, etc....just seems like there should be an easy way to think about extracting the 3/2.
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