Consider the function $f\colon \mathbb{R} \to \mathbb{R}$ defined as follows: $$f(x) = \begin{cases} c_1 e^x - c_2 \log_e\left(\frac{1}{x}\right), & \text{if } x > 0 \\ 3 & \text{otherwise} \end{cases}$$ where $c_1, c_2 \in \mathbb{R}$. If $f$ is continuous at $x = 0$, then $c_1 + c_2 =$ _______ . (answer in integer)

Consider the function f R R defined as follows: f(x) = cases c1 ex - c2 e ( 1x ), & if x > 0 \\ 3 & otherwise cases where c1, c2 R. If f is continuous at x = 0, then c1 + c2 = … (answer in integer)

Topic-wise GATE CS PYQs with verified steps