Factorization Method Form to Remove Indeterminate Form
x→ 2lim [ 1/x...
Question
limx→2[1x−2−2x(x−1)(x−2)]=
A
32
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B
23
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C
∞
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D
0
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Solution
The correct option is A32 limx→2[1x−2−2x(x−1)(x−2)]=limx→2x(x−1)−2x(x−1)(x−2)=limx→2x2−x−2x(x−1)(x−2)=limx→2(x−2)(x+1)x(x−1)(x−2)=limx→2x+1x(x−1)=2+12(2−1)=32