CUET 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

Continuity & Differentiability

Easy

If $f(x)$ , defined by $f(x)=\left\{\begin{array}{lll}k x+1 & \text { if } & x \leq \pi \\ \cos x & \text { if } & x>\pi\end{array}\right.$ is continuous at $x=\pi$ , then the value of $k$ is :

0

\pi

\frac{2}{\pi}

-\frac{2}{\pi}

Correct Option: 4

Will be added.

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CUET Mathematics 2024

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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 $x = 1$

CUET Mathematics 2024

5^{\mathrm{x}}

CUET Mathematics 2024

t=e^{2 x}

y=\log _{e} t^{2}

\frac{d^{2} y}{d x^{2}}