Rationalization Method to Remove Indeterminate Form
limx→∞x3+x2+1...
Question
limx→∞x3+x2+12x2+3x+4=
A
0
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B
1
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C
∞
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D
-1
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Solution
The correct option is C∞ Given, limx→∞x3+x2+12x2+3x+4 Dividing the numerator and denominator of the fraction by x3, we get limx→∞1+1x+1x32x+3x2+4x3 Substituting x=∞ or 1x=0, we get =1+1(0)+1(0))2(0)+3(0)+4(0)=10=∞