Engineering

Mathematics

Trigonometric Limits

Question

$lim_{x \to 2} (\frac{\sqrt{1 - \cos {2 (x - 2)}}}{x - 2})$

equals $\sqrt{2}$

equals $- \sqrt{2}$

equals $\frac{1}{\sqrt{2}}$

does not exist

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$lim_{x \to 2} \sqrt{2} \frac{| \sin (x - 2) |}{(x - 2)}$

∴ does not exist