If y=1+ x 1! + x ^ 2 2! + x ^ 3 3! + , then the value of d y d x is

Mathematics · JEE Main · NTA ExamsSets, Relations and Functions

If \(y=1+\frac{\mathbf{x}}{1!}+\frac{\mathbf{x}^{2}}{2!}+\frac{\mathbf{x}^{3}}{3!}+\ldots\), then the value of \(\frac{d y}{d x} \text { is }\)
  1. 0
  2. 1
  3. \(\mathbf{x}\)
  4. \(\mathbf{Y}\)

Answer

(D) Y

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