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JEE MATHEMATICS MCQ: LIMITS

1 Easy
1 of 1
Application +4 | -1
Evaluate lim⁡x→1f(x)\lim \limits_{{x \rightarrow 1}} f(x), where, 2x2≤f(x)≤x(x2+1),∀x2 x^2 \leq f(x) \leq x\left(x^2+1\right), \forall x that are near to 1 but not equal to 1.
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Correct option: A
2
Option A (2) is correct because by the Sandwich theorem, the limit of f(x) as x approaches 1 is squeezed between two functions that both approach 2.

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