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lim(x-sin(2x))/(x+sin(x)),x->0

Is this lim zero as an answer???

 Sep 12, 2015
 #1
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As x → 0 then sin(x) → x and sin(2x) → 2x,  so (x - sin(2x))/(x+sin(x)) → (x - 2x)/(x + x) → -x/2x → -1/2

 Sep 12, 2015

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