- #1

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[tex]\lim_{\substack{x\rightarrow -1\\y\rightarrow 1}} \frac{x^2 - y^2}{xy + y^2 + x + y}[/tex]

Thankyou.

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- #1

- 16

- 1

[tex]\lim_{\substack{x\rightarrow -1\\y\rightarrow 1}} \frac{x^2 - y^2}{xy + y^2 + x + y}[/tex]

Thankyou.

- #2

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http://tutorial.math.lamar.edu/Classes/CalcIII/Limits.aspx

It is a rather good webiste to learn Calculus basics in general, so I recommend that you explore it, as for your needs. Remember to try out the easier examples to get a good hang of it!

- #3

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- #4

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Anyway, try reducing that expression to something simpler. (Hint: factorize the numerator and denominator, and see if there's something you can eliminate so that the problem becomes a simple substitution sum)

- #5

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- #6

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I can't factorise the demoninator

Why not? The terms are laid out to make it rather easy to factorize

You can write the denominator as...

[tex]y(x+y) + (x + y)[/tex]

Can you take it from here?

Last edited:

- #7

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Yes I can, thankyou very much for your help!

- #8

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You're welcome!

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