Calculating the Limit of an Infinite Series

[kayron]

Homework Statement

2/3!+4/5!+6/7!+...to infinity is equal to?

 

[lewando]

Have you done any problems similar to this? Where are you getting stuck?

 

[kayron]

yes i have.
the trick is to translate this into an expression of known a known infinite series, like that of e or e^-1
here the answer is e^-1

 

[hunt_mat]

Write down e and e^-1, what do you find?