# L15 - L15 Derivatives of Trigonometric Functions 0 lim sin...

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L15 – Derivatives of Trigonometric Functions lim θ 0 sin( θ ) = 0 lim θ 0 cos( θ ) = 1 1

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lim θ 0 sin( θ ) θ = 1 2
lim θ 0 cos( θ ) - 1 θ = 0 Evaluate the limits: lim x 0 sin( x ) 1 - cos( x ) 3

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lim x 0 cos( x ) - 1 sec( x ) - 1 = lim x 0 tan( x ) 3 x lim x 0 sin 2 ( πx ) 3 x 2 lim x 0 sin(3 x ) tan(3 x ) 4
lim x π 2 sin(cos( x )) cos( x ) lim x π 2 cos( x ) x - π 2 lim x π sin( x ) x - π 5

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f ( x ) = sin( x ) x < 0 cos( x ) - 1 x 0 Is f ( x ) continuous at x = 0? Is f ( x ) diﬀerentiable at

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## This note was uploaded on 01/13/2010 for the course MAC 2311 taught by Professor All during the Fall '08 term at University of Florida.

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L15 - L15 Derivatives of Trigonometric Functions 0 lim sin...

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