InterviewSolution
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InterviewSolution
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The value of the limit `lim_(x to -oo) (sqrt(4x^(2) - x )+2x)` isA. `-oo`B. `-(1)/(4)`C. 0D. `(1)/(4)` |
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Answer» Correct Answer - D Rationalise ` lim_(x to -oo) ((sqrt(4x^(2) - x) + 2x) xx (sqrt(4x^(2) - x) - 2x)/(sqrt(4x^(2) -x)- 2x))` `lim_(x to -oo) ((-x)/(|x|sqrt(4 - (1)/(x)) - 2x)) "at" x to -oo |x| = - x ` `lim_(x to -oo) ((-x)/(|x|sqrt(4 - (1)/(x)) - 2x)) = (1)/(2+ 2) = (1)/(4)` |
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