JEE MAIN - Mathematics Bengali (2022 - 29th July Morning Shift - No. 5)
যদি $$\mathop {\lim }\limits_{x \to 0} {{\alpha {e^x} + \beta {e^{ - x}} + \gamma \sin x} \over {x{{\sin }^2}x}} = {2 \over 3}$$, যেখানে $$\alpha ,\beta ,\gamma \in R$$, তবে নীচের কোনটি সত্য নয় ?
$${\alpha ^2} + {\beta ^2} + {\gamma ^2} = 6$$
$$\alpha \beta + \beta \gamma + \gamma \alpha + 1 = 0$$
$$\alpha {\beta ^2} + \beta {\gamma ^2} + \gamma {\alpha ^2} + 3 = 0$$
$${\alpha ^2} - {\beta ^2} + {\gamma ^2} = 4$$
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