If $f(x)=\left\{\begin{array}{l}\frac{5}{2}-x, \text { when } x 2\end{array}\right.$, then:

$\lim _{x \rightarrow 2} f(x)=1$

JEE MATHEMATICS MCQ: LIMITS

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Analyzing +4 | -1

f(x)=\left\{\begin{array}{l}\frac{5}{2}-x, \text { when } x<2 \\ 1, \text { when } x=2 \\ x-\frac{3}{2}, \text { when } x>2\end{array}\right.

, then:

View answer and explanation

Correct option: B

f(x)

is discontinuous at

x=2

The function f(x) is discontinuous at x=2 because the limit as x approaches 2 is 1/2, while f(2) = 1, thus they are not equal.

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