Answer question from picture.
The limit (as 'x' approaches zero) of x²/(2x+1) is 0 / (0+1) = 0 .You get this by substituting the limit in place of 'x'.Sometimes that doesn't work. Sometimes it gives you monstrosities like 0/0, or 1/0, or ∞/∞ .But it works for this one. There's nothing wrong with 0/1 = zero .