Statement -1: The sum of the series
`(1)/(1!)+(2)/(2!)+(3)/(3!)+(4)/(4!)+..to infty` is e
Statement 2: The sum of the seies
`(1)/(1!)x+(2)/(2!)x^(2)+(3)/(3!)x^(3)+(4)/(4!)x^(4)..to infty is x e^(x)`

Options

A. Statement 1 is true, Statement 2 is true Statement 2 is correct explanation for statement 1
B. Statement 2 is true.
C. Statement 1 is true.
D. Statement 1 is false ,Statement 2 is true.

Explanation

To solve the given problem, we need to analyze both statements and verify their correctness step by step.

### Step 1: Analyze Statement 1
The first statement claims that the sum of the series:

\[ S_1 = \sum_{n=1}^{\infty} \frac{n}{n!} \]
...