Question

$\lim_{n\to\infty} (1 + \frac{1}{n})^{2n}$ is equal to}

• A. e
• B. $e^2$
• C. $e^3$
• D. 4.0

Hint:

Remember the general rule for limits of this type:
\[ \lim_{n\to\infty} \left(1 + \frac{a}{n}\right)^{bn} = e^{ab} \] Applying this rule to our problem where \(a = 1\) and \(b = 2\):
\[ \lim_{n\to\infty} \left(1 + \frac{1}{n}\right)^{2n} = e^{1 \times 2} = e^2 \] This general formula allows you to solve similar limits instantly.

Answer 1

The Correct Option is B