The correct expression for approximating e by substituting large values for n is: b) (1 + 1/n)^n
As n gets larger, the term 1/n becomes increasingly insignificant compared to 1. Therefore, we can approximate (1 + 1/n)^n as (1 + 0)^n, which is simply 1^n = 1.
This value keeps getting closer to e as n increases infinitely. In fact, the expression (1 + 1/n)^n converges to e as n approaches infinity.
Therefore, the expression (1 + 1/n)^n is the correct way to approximate e by substituting large values for n.
Complete question:
You can approximate e by substituting large values for n into the expression ______.
a) (1-n)^1/n
b) (1+1/n)^n
c) (1-1/n)^n
d) (1+n)^1/n