JEE PYQ: Continuity And Differentiability Question 7
Question 7 - 2021 (18 Mar Shift 2)
Let $f : \mathbb{R} \to \mathbb{R}$ satisfy the equation $f(x + y) = f(x) \cdot f(y)$ for all $x, y \in \mathbb{R}$ and $f(x) \neq 0$ for any $x \in \mathbb{R}$. If the function $f$ is differentiable at $x = 0$ and $f’(0) = 3$, then $\lim_{h \to 0} \dfrac{1}{h}(f(h) - 1)$ is equal to ______.