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04-09-2017
Advanced Placement (AP)

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Lim (tanx)/2x as x approaches 0

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xforeverx91 xforeverx91

04-09-2017

You have to use L'Hospital Rule. So you take the derivative of the top then you take the derivative of the bottom.

1/2 × (lim x→0 (sec²x/1))

Substitute in the x-value
1/2 × (lim x→0 (sec²(0)/1))

(lim x→0 (sec²(0)/1) = 1

1/2 × 1

1/2

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