Repetition can make you go nuts!!

Calculus Level 2

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Consider the following polynomial: \[f(x) =1 + \frac{x}{1!} + \frac{x^{2}}{2!} + \frac{x^{3}}{3!} + .......... + \frac{x^{n}}{n!}\]

Here \(n\) is a finite integer.

Now which of the following statement is true ??

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