What is the value of the limit (x, y) --> (2, 1) of the expression: (x^3 + 2x^2y - xy - 2y^2) / (x + 2y)?
- 3
- 2
- 1
- 0
Explanation
The given expression is: (x^3 + 2x^2y - xy - 2y^2) / (x + 2y)
To evaluate the limit, we can substitute x = 2 and y = 1: (2^3 + 2(2)^2(1) - 2(1) - 2(1)^2) / (2 + 2(1)) = (8 + 8 - 2 - 2) / 4 = 12 / 4 = 3.
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