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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Application +4 | -1
If lim⁡x→∞(x+cx−c)x=4\lim \limits_{{x \rightarrow \infty}}\left(\frac{x+c}{x-c}\right)^x=4, then the value of cc is
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Correct option: B
log⁡e2\log _e 2
Option B (log⁡e2\log _e 2) is correct because the limit can be evaluated by rewriting the expression and using the standard limit lim⁡x→∞(1+ax)x=ea\lim_{x \rightarrow \infty} (1 + \frac{{a}}{{x}})^x = e^a.

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