CUET Mathematics 2025 13 May Shift 2 PYQs

(A) $f(x) = \dfrac{x^2 + 1}{x}$

(I) $x = 4$

(B) $f(x) = \dfrac{|x - 1|}{x - 1}$

(II) $x = 2$

(C) $f(x) = x - 1$ for $x < 2$ and $x + 1$ for $x \ge 2$

(III) $x = 0$

(D) $f(x) = \dfrac{1 - x}{(x - 4)}$

(IV) $x = 1$

(A) $f(x) = x \sin x$

(I) is not continuous at $x = -3$

(B) $f(x) = \frac{|x|}{x}, x \neq 0$ and $f(x) = 1 \text{ at } x = 0$

(C) $f(x) = x - [x]$, $[x]$ denotes greatest integer function

(III) is not differentiable at $x = 1$

(D) $f(x) = e^{|x - 1|}$

(IV) is not continuous at $x = 0$