Question Detail

MTH 102 Limits Objective Question

Question

Evaluate the limit of \( \frac{x^n - y^n}{x - y} \) as \( x \) approaches \( y \).
Options
A \( n y^{n-1} \)
Correct Answer
B \( n y^n \)
C \( y^n \)
D 0
Correct Answer

Option A is the correct answer.

Detailed Explanation

This is the definition of the derivative of ( x^n ) evaluated at ( y ).

Hint

Exercise 1.1, Question 11.

Question Info