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For any positive integer n, what is the limit of (x^n - a^n)/(x - a) as x tends to a?
An a^n
Ba^(n-1)
C(n-1) a^n
Dn a^(n-1)
Answer & Solution
Correct answer: D. n a^(n-1)
This standard limit equals the derivative of x^n at a, namely n times a^(n-1).
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