When x goes to 0 find limit of cosx+square root(1-cos(x/2)) -------------------------- sinx I used L'Hospital. But the equation became a mess. There must be a trick.
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If the expression is ... $\dfrac{\cos{x}+\sqrt{1-\cos(x/2)}}{\sin{x}}$ direct substitution yields 1/0, therefore the limit as $x \to 0$ does not exist
Many Thanks.