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JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1
If x>0x > 0 and gg is a bounded function, then lim⁡n→∞f(x)enx+g(x)enx+1\lim \limits_{{n \rightarrow \infty}} \frac{f(x) e^{n x}+g(x)}{e^{n x}+1} is
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Correct option: B
f(x)f(x)
Option B (f(x)f(x)) is correct because as n approaches infinity, the expression simplifies to f(x)f(x).

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