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Mathematics Question on Limits

If f(x)={3x+2,if x<−2 x2−3x−1,if x≥−2f(x) = \begin{cases} 3x+2, & \text{if}\ x\lt-2 \\\ x^2-3x-1, & \text{if}\ x\geq-2 \end{cases}. Then lim⁡x→2−f(x)\lim\limits_{x\rightarrow2^-}f(x) and lim⁡x→2+f(x)\lim\limits_{x\rightarrow2^+}f(x) are respectively

A

(-4,3)

B

(6,3)

C

(-6,3)

D

(-4,9)

E

(9,-4)

Answer

(-4,9)

Explanation

Solution

The correct option is (D): (-4,9)