allerylim_(x→∞) (1 + 1/x)^x =
Ae (≈ 2.718)
B0
C1
DInfinity
Answer & Solution
Correct answer: A. e (≈ 2.718)
This is the definition of e: lim_(x→∞) (1 + 1/x)^x = e ≈ 2.718. Many applications in compound interest, growth/decay.
Keep practising Unit 1B1: Limit Concepts and Graphical Limits
Browse all Unit 1B1: Limit Concepts and Graphical Limits questions for AP Calculus AB, or explore more Mathematics topics.
Related questions
Which of the following is a rational number?Which statement is true for a polynomial of degree $n$?If $(d,m,n)$ are direction cosines of a line, which relation must hold?If $A$ is a square matrix with $|A| = 3$ and order $n = 3$, then $|\operatorname{adj}(A)|$For a non-singular $n \times n$ matrix $A$, the relation between $\det(\operatorname{adj} A square matrix $A$ is **invertible** if and only if:If $A$ and $B$ are matrices for which $AB$ is defined, then $(AB)'$ equals:The diagonal entries of any skew-symmetric matrix are: