Limits, Continuity & Differentiability
General
Grade 12
Question:
<p>limn→∞
en
(1+ 1
n)
n2 equals:</p>
Step-by-Step Solution
Key Concept: General
<p>Let L = \lim_{n \to \inftyn2} ln(1 + 1/n) = lim n2(1/n -1/2n2 + . . . ) = n -1/2. The expression is</p> lim en en-1/2 = e1/2 = \sqrt{e.}
Correct Answer: 4