# Twenty Million Chances to Get it Wrong

**Computer Science**Level 4

She asks you to find the digit sum of the digit sum of the first twenty million digits after the decimal mark in \( e \) to ensure that her computed value matches the correct calculated value.

What is answer she should hope to have?

**Details and assumptions**

- The
**digit sum**of a number is the sum of all its digits. For example the digit sum of 9123 is \(9 + 1 + 2 + 3 = 15\). - The "digit sum of the digit sum" of 9123 is the digit sum of 15, which would be 6.
- One possible definition of \( e \) is \( \displaystyle \lim_{n\to\infty} \left( 1 + \frac{1}{n} \right)^n \) .