Are these two functions equivalent when y = 0?

  • Thread starter nobahar
  • Start date
  • #1
493
2
Hello!

Am I right to conclude that:
[tex]y^2(A(\frac{x}{y})^2 + B(\frac{x}{y})+ C) = Ax^2 + Bxy + Cy^2[/tex]

Only when y does not equal zero. I'm guessing I could evaluate the function lim y -> 0 but this is not the same as y explicitly equalling zero, is it? On the RHS, y can equal zero, on the LHS, y cannot equal zero. So I am guessing they are only equal when y does not equal zero.
Is this true?

Many thanks.
 

Answers and Replies

  • #2
22,089
3,296
Indeed, you cannot evaluate the expression in 0. It is undefined in 0.
 
  • #3
493
2
Thanks Micro!
 

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