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GATE CS 2026 Set 1 — Question 32

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NAT+1 / -0MediumLimits & ContinuityCalculusEngineering Mathematics

Engineering Mathematics → Calculus → Limits & Continuity

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Question

Consider the function f:R→Rf: \mathbb{R} \to \mathbb{R} defined as follows:f(x)={c1ex−c2log⁡e(1x),if x>03otherwisef(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 c1,c2∈Rc_1, c_2 \in \mathbb{R}.
If ff is continuous at x=0x = 0, then c1+c2=_________c_1 + c_2 = \_\_\_\_\_\_\_\_\_. (answer in integer)
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