The reactions which cannot be applied to prepare an alkene by elimination, are
Choose the correct answer from the options given below:
The question asks which reactions cannot be used to prepare an alkene by elimination. Elimination reactions typically involve the removal of a small molecule from adjacent carbon atoms and formation of a double bond.
Based on the above analysis, Options B and D do not typically facilitate the formation of alkenes via elimination reactions. Therefore, the correct answer is B & D Only.
For \( \alpha, \beta, \gamma \in \mathbb{R} \), if \[ \lim_{x \to 0} \frac{x^2 \sin(\alpha x) + (\gamma - 1)e^{x^2}}{\sin(2x - \beta x)} = 3, \] then \( \beta + \gamma - \alpha \) is equal to:

In the first configuration (1) as shown in the figure, four identical charges \( q_0 \) are kept at the corners A, B, C and D of square of side length \( a \). In the second configuration (2), the same charges are shifted to mid points C, E, H, and F of the square. If \( K = \frac{1}{4\pi \epsilon_0} \), the difference between the potential energies of configuration (2) and (1) is given by: