Let \( \frac{\pi}{3}A\frac{\pi}{2} \) and a function \( f(x) \) is defined as :
\( \mathrm{P} \)... VIDEO
Let \( \frac{\pi}{3}A\frac{\pi}{2} \) and a function \( f(x) \) is defined as :
\( \mathrm{P} \) \( f(x)=\left\{\begin{array}{l}\lim _{n \rightarrow \infty} \frac{a x^{2}\left(\sin A-\sin ^{3} A\right)-(5 x-b)\left|\sin A-\sin ^{3} A\right|^{n}}{\left(\sin A-\sin ^{3} A\right)-\left|\sin A-\sin ^{3} A\right|^{n}}, x \in Q \\ \lim _{n \rightarrow \infty} \frac{a x^{2}\left(\sin A+\sin ^{3} A\right)+(5 x-b)\left|\sin A+\sin ^{3} A\right|^{n}}{\left(\sin A+\sin ^{3} A\right)+\left|\sin A+\sin ^{3} A\right|^{n}}, x \notin Q\end{array}\right. \)
W
If \( f(x) \) is continuous at \( x=2 \) and \( x=3 \) then the value of \( b-a \), is :
(a) 3
(b) 4
(c) 5
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