Question

Limit as n approaches infinity of (1+1/n)ⁿ?
a) 0
b) 1
c) e
d) [infinity]

Answer 1

The limit as n approaches infinity of (1+1/n)^n is the mathematical constant e, which is approximately 2.71828, making the correct answer c) e.

Step-by-step explanation:

The question asks about the limit as n approaches infinity of the expression (1+1/n)^n. This limit is a well-known expression in mathematics, which defines the number e, approximately equal to 2.71828. The expression itself arises naturally in various areas of mathematics, including calculus and complex analysis, and is the base of the natural logarithm. As the number of steps approaches infinity, the expression's value gets closer and closer to e, hence the correct answer is c) e.