If f ( x ) = x n , then the value of f(1)- f^ (1) 1! + f^ (1) 2! - f^ (1) 3! + + (-1)^ n…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
If f (x) = x n, then the value of
\(f(1)-\frac{f^{\prime}(1)}{1!}+\frac{f^{\prime \prime}(1)}{2!}-\frac{f^{\prime \prime \prime}(1)}{3!}+\ldots+\frac{(-1)^{n} f^{n}(1)}{n!}\) is
\(f(1)-\frac{f^{\prime}(1)}{1!}+\frac{f^{\prime \prime}(1)}{2!}-\frac{f^{\prime \prime \prime}(1)}{3!}+\ldots+\frac{(-1)^{n} f^{n}(1)}{n!}\) is
- 2n – 1
- 0
- 1
- 2n
Answer
(B) 0
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