passpadi

2023

Mathematics

67ca00ce0c643c71d77dee1f

Evaluate the following limit: lim (x→2) (x2 + 4x − 12)/(x2 − 2x)

A.

4

B.

8

C.

0

D.

2

Correct Answer: 4

Explanation

lim (x→2) x2 + 4x − 12)/(x2 −2x) = lim (x→2) ((x−2)(x+6))/(x(x − 2)) limx→2 x+6/x 2 + 6/2 = 8/2 = 4

lim (x→2) x2 + 4x − 12)/(x2 −2x) = lim (x→2) ((x−2)(x+6))/(x(x − 2)) limx→2 x+6/x 2 + 6/2 = 8/2 = 4
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