Q12Multiple correct3 Marks28 Apr 2024

Consider the function: $$f(y) = \begin{cases} \frac{\sin(y)}{y}, & \text{if } y \neq 0 \\ 1, & \text{if } y = 0 \end{cases}$$ Choose the set of correct options considering the function:

A

The derivative of $f(y)$ at $y = 0$ (if it exists) is $1$.

B

$f(y)$ is continuous at $y = 0$.

C

The derivative of $f(y)$ at $y = 0$ (if it exists) is $0$.

D

$f(y)$ is not differentiable at $y = 0$.