lim_(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.
Related questions
Rolle's theorem applies to a function $f$ on $[a, b]$ if $f$ is:The derivative of $ in(3x)$ is:A function differentiable at $x = a$ is always:A function $f$ is continuous at $x = a$ if:The derivative of $ in x$ is:The derivative of $f(x) = x^3 + 2x^2 + 1$ at $x = 1$ is:The limit $\lim_{x\to 0} in x/x$ equals:The limit $\lim_{x\to 2}(x^2 + 3x - 1)$ equals: