If lim x → 0 a eˣ - b cos x + c e⁻ˣ x sin x = 2, then a + b + c is equal to _ _ _ _ _ _.

Limit, Continuity and Differentiability: JEE Main 2021 Mathematics question

JEE Main 2021 · 16 Mar, Morning shift · Q39

JEE Main 202116 Mar, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2

, then a + b + c is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.

JEE Main 2021 · 16 Mar, Morning shift · Q39

JEE Main 202116 Mar, Morning shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002

\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2

, then a + b + c is equal to ____________.

Your answerType your answer. Integers and decimals are accepted.