Question

Solution for
Lim (x+y)²/x²+y²=?

Answer 1

Answer:

x°2+2xy+y°2/x°2+y°2 is your answer

Answer 2

Answer:

2xy=0

Step-by-step explanation:

Pick any two numbers x and y with neither being 0. For example, x=1, y=2. Or x=5, y=10,000. As long as neither x nor y is 0, this statement will be false.

(2+1)2=22+12(2+1)2=22+12

32=5?32=5?

(4+4)2=42+42(4+4)2=42+42

82=32?82=32?

As for how I knew that x and y could not be 0, consider:

(x+y)2=x2+2xy+y2(x+y)2=x2+2xy+y2

So, if x or y is 0, that middle term is 0, and the statement is true for that pair. In other words:

x2+2xy+y2=x2+y2x2+2xy+y2=x2+y2

is only true when 2xy=0.