Question

What is the value of `k`, where `k=(1+1/n)^n`, given `n` is equals to number of seconds in one year? (a). `e` (b). 2.7 (c). 2 (d). 2.75

Answer 1

Very close to the value of e

Explanation:

Value of `n` = number of seconds in one year.

Seconds in one year is:

Number of days in year X number of hours in one day X number of minutes in one hour X number of seconds in one minute.

`365 xx 24 xx 60xx60 = 31536000`

So:

`k = (1+1/n)^n=> k= (1+1/ 31536000)^ 31536000` => k= 2.7182817853609708213. (20 significant digits).

Value of `e = 2.7182818284590452354` (20 significant digits).