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JEE MATHEMATICS MCQ: LIMITS

1 Easy
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Analyzing +4 | -1
Let f(x)=x(x+4−x)f(x)=\sqrt{x}(\sqrt{x+4}-\sqrt{x}). Then lim⁡x→+∞f(x)\lim _{x \rightarrow+\infty} f(x)
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Correct option: A
exists and is equal to 2
Option A (exists and is equal to 2) is correct because after rationalizing and simplifying the expression, the limit as x approaches infinity is 2.

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