JEE MATHEMATICS MCQ: LIMITS

1 Easy

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Analyzing +4 | -1

Let

f(x) = \left\{ {\begin{array}{llllllllllllllllllll} {x - 1}&{{\text{ if }}x \leqslant 1} \\ {2x - 1}&{{\text{ if }}1 < x < 2} \\ {x + 1}&{{\text{ if }}x \geqslant 2} \end{array}} \right.\,

then

\lim\limits_{x \to 1} f\left( x \right)

View answer and explanation

Correct option: D

does not exist

Option D (does not exist) is correct because the left-hand limit and right-hand limit at x=1 are not equal, indicating the limit does not exist.

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