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Evaluate the following limit : lim(x→0) [sin (2 + x) - sin(2 - x)]/x

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Evaluate the following limit : \(\lim\limits_{\text x \to0}\cfrac{[sin(2+\text x)-sin(2-\text x)]}{\text x} \)

lim(x→0) [sin (2 + x) - sin(2 - x)]/x

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= \(\lim\limits_{\text x \to0}\cfrac{[sin(2+\text x)-sin(2-\text x)]}{\text x} \)

lim(x→0) [sin (2 + x) - sin(2 - x)]/x

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