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In the expansion of (e^(x)-1-x)/(x^(2)) ...

In the expansion of `(e^(x)-1-x)/(x^(2))` is ascending powers of x the fourth term is

A

`(x^(3))/(5!)`

B

`(x^(4))/(4!)`

C

`(x^(3))/(3!)`

D

none of these

Text Solution

AI Generated Solution

To find the fourth term in the expansion of \(\frac{e^x - 1 - x}{x^2}\), we can follow these steps: ### Step 1: Expand \(e^x\) We start with the Taylor series expansion of \(e^x\): \[ e^x = 1 + x + \frac{x^2}{2!} + \frac{x^3}{3!} + \frac{x^4}{4!} + \cdots \] ...
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