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JEE MATHEMATICS MCQ: LIMITS

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Application +4 | -1
If lim⁡x→5xk−5kx−5=500\lim \limits_{{x \rightarrow 5}} \frac{x^k-5^k}{x-5}=500, then kk is equal to:
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Correct option: A
4
Option A (4) is correct because the value of k is 4, derived from the limit definition of the derivative.

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