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Limits of piecewise functions

Let
g(x)={1xfor x2cos(x+2)2for x>2g(x)=\begin{cases} \dfrac{1}{x}&\text{for }x\leq -2 \\\\ -\small\dfrac{\cos(x+2)}{2}&\text{for }x> -2 \end{cases}
Find limx2g(x)\displaystyle\lim_{x\to -2}g(x).
Choose 1 answer:
Choose 1 answer: