CUET Mathematics 2024 - If f(x), defined by f(x)=\arraylllk x+1 & if & x ≤ \\ x & if & x>. is continuous at x=, then the value of k is : | PYQs + Solutions

CUET Mathematics 2024

Calculus

Easy

$0$

$\pi$

$\frac{2}{\pi}$

$-\frac{2}{\pi}$

✅ Correct Option: 4

Related questions:

The second order derivative of which of the following functions is $5^{\mathrm{x}}$ ?

Let $[x]$ denote the greatest integer function. Then match List-I with List-II:

List-I	List-II
(A) $\|x - 1\| + \|x - 2\|$	(I) is differentiable everywhere except at $x = 0$
(B) $x - \|x\|$	(II) is continuous everywhere
(C) $x - [x]$	(III) is not differentiable at $x = 1$
(D) $x \, \|x\|$	(IV) is differentiable at $x = 1$

If $t=e^{2 x}$ and $y=\log _{e} t^{2}$ , then $\frac{d^{2} y}{d x^{2}}$ is :

CUET Mathematics 2024 PYQs