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Mathematics 12 Online
OpenStudy (lovelyharmonics):

limits

OpenStudy (lovelyharmonics):

\[\lim_{x \rightarrow -2} \frac{ x^2-4 }{ x+4 }\]

ganeshie8 (ganeshie8):

simply plugin x = -2

ganeshie8 (ganeshie8):

\[\large \lim_{x \rightarrow -2} ~\frac{ x^2-4 }{ x+4 }\] \[\large~~~~\frac{ (-2)^2-4 }{ -2+4 }\]

ganeshie8 (ganeshie8):

simplify

OpenStudy (lovelyharmonics):

4-4=0/2 so it does not exist?

ganeshie8 (ganeshie8):

\[\large \dfrac{0}{2} = 0\] \[\large \dfrac{2}{0} = DNE\]

ganeshie8 (ganeshie8):

0/2 = 0 the limit exists, the value is 0 !

ganeshie8 (ganeshie8):

having 0 in the numerator is fine, but 0 is not allowed in the denominator

OpenStudy (lovelyharmonics):

oh .-. makes sense im learning limits!

ganeshie8 (ganeshie8):

I see... derivatives will be more fun :) Enjoy... !

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