Rationalization Method to Remove Indeterminate Form
limx→∞7x2-5x+...
Question
limx→∞7x2−5x+6x2+x+1= ______
A
7
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B
0
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C
∞
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D
1
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Solution
The correct option is A 7 Given, limx→∞7x2−5x+6x2+x+1 Dividing the numerator and denominator of the fraction by x2, we get limx→∞7−5x+6x21+1x+1x2 Substituting x=∞ or 1x=0, we get =7−5(0)+6(0)1+1(0)+1(0)=71=7