Question:
Define the function \(f:(-1,1)\rightarrow (-\frac{\pi}{2},\frac{\pi}{2})\) by
\(f(x)=\sin^{-1}x\)
Let a6 denote the coefficient of x6 in the Taylor series of (f(x))2 about x = 0. Then, the value of 9a6 equals ____________ (rounded off to two decimal places).
Define the function \(f:(-1,1)\rightarrow (-\frac{\pi}{2},\frac{\pi}{2})\) by
\(f(x)=\sin^{-1}x\)
Let a6 denote the coefficient of x6 in the Taylor series of (f(x))2 about x = 0. Then, the value of 9a6 equals ____________ (rounded off to two decimal places).
\(f(x)=\sin^{-1}x\)
Let a6 denote the coefficient of x6 in the Taylor series of (f(x))2 about x = 0. Then, the value of 9a6 equals ____________ (rounded off to two decimal places).
Updated On: Oct 1, 2024
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Correct Answer: 1.5
Solution and Explanation
The correct answer is 1.50 to 1.70. (approx)
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