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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
lim⁡x→∞(1+kx)mx\lim \limits_{{x \rightarrow \infty}}\left(1+\frac{k}{x}\right)^{m x} is equal to
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Correct option: C
emke^{m k}
Option C (emke^{mk}) is correct because the limit is a standard exponential limit of the form (1 + x/n)(nx) which converges to e^x.

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