= vmatrix x & (x+h) & (x+2h) (x+h) & x & (x+h) (x+2h) & (x+h) & x vmatrix find _ h 0…

MATHEMATICS · Subjective · CBSE · Mathematics · Determinants · Determinants

Problem

Δ=∣sin⁡xsin⁡(x+h)sin⁡(x+2h)sin⁡(x+h)sin⁡xsin⁡(x+h)sin⁡(x+2h)sin⁡(x+h)sin⁡x∣\Delta = \begin{vmatrix} \sin x & \sin(x+h) & \sin(x+2h) \\ \sin(x+h) & \sin x & \sin(x+h) \\ \sin(x+2h) & \sin(x+h) & \sin x \end{vmatrix} find lim⁡h→0(Δh2).\text{find } \lim_{h \to 0} \left( \frac{\Delta}{h^2} \right).

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