n! or n Factorial

[greatwhiteshark]

Use the calculator to compute the value of
2 + 1/2! + 1/3! + 1/n! for n = 4.
Then compare the result with the number e.

I found the answer to be 2.708333333.

How do I compare 2.708333333 with the number e?

 

[Euler]

Browse this site: http://en.wikipedia.org/wiki/E_(mathematical_constant)

Look at the equation regarding the n!

 

[pka]

On your calculator there ought to be a button e<SUP>x</SUP>.
Use it for x=1. You will see a value of e.

 

[greatwhiteshark]

Yes but...

I found the value of e. However, what does it mean to compare my answer to the number e? Compare it in what way?

 

[pka]

Look at these two.
What does it mean to compare two numbers?
That answer to that is not mathematical!
Rather it is common sense!

 

[greatwhiteshark]

ok

Got it now.