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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If lim⁡x→−nx7+n7x+n=7\lim \limits_{{x \rightarrow-n}} \frac{x^7+n^7}{x+n}=7, then the value of nn is-
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Correct option: D
±1\pm 1
Option D (±\pm 1) is correct because the limit is evaluated using the formula for the limit of xn+anx+a\frac{{x^n + a^n}}{{x+a}} as x approaches -a.

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