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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→2xn−2nx−2=80\lim \limits_{{x \rightarrow 2}} \frac{x^{n}-2^{n}}{x-2}=80, where nn is a positive integer, then n=n=
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Correct option: B
5
Option B (5) is correct because solving the limit equation lim⁡x→2xn−2nx−2=80\lim \limits_{{x \rightarrow 2}} \frac{x^{n}-2^{n}}{x-2}=80 yields n=5n=5.

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