$\mathop {\lim }\limits_{x \to 0} \frac{{3x + \left| x \right|}}{{7x - \left| x \right|}}$, is

JEE MATHEMATICS MCQ: LIMITS

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\lim\limits_{x \to 0} \frac{{3x + \left| x \right|}}{{7x - \left| x \right|}}

, is

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Correct option: D

None of these

Option D (None of these) is correct because the left-hand limit and the right-hand limit are not equal, indicating the limit does not exist.

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