JEE Main 202120 Jul, Evening shiftMathematicsMediumLimit, Continuity and Differentiability420× since 2002If limx→0αxex−βloge(1+x)+γx2e−xxsin2x=10,α,β,γ∈R\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\sin }^2}x}} = 10,\alpha ,\beta ,\gamma \in Rx→0limxsin2xαxex−βloge(1+x)+γx2e−x=10,α,β,γ∈R, then the value of α\alphaα + β\betaβ + γ\gammaγ is _____________.Your answerType your answer. Integers and decimals are accepted.CheckSkip · show solution
