InterviewSolution
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InterviewSolution
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`f(x)=e^(x)-e^(-x)-2 sin x -(2)/(3)x^(3).` Then the least value of n for which `(d^(n))/(dx^(n))f(x)|underset(x=0)` is nonzero isA. 5B. 6C. 7D. 8 |
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Answer» `f(x)=e^(x)-e^(-x)-2 sin x -(2)/(3)x^(3)` `f^(I)(x)=e^(x)+e^(-x)-2 cos x -2x^(2)` `f^(II)(x)=e^(x)-e^(-x)+2 sin x-4x` `f^(III)(x)=e^(x)+e^(-x)+2 cos x -4` `f^(IV)(x)=e^(x)-e^(-x)-2 sin x` `f^(V)(x)=e^(x)+e^(-x)-2 cos x` `f^(VI)(x)=e^(x)-e^(-x)+2 sin x` `f^(VII)(x)=e^(x)+e^(-x)+2 cos x` `"Clearly, "f^(VII)(0)" is nonzero."` |
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