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suju101

  • 4 years ago

lim x-->-2^- (x-3)|x+2|/(x+2)

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  1. myininaya
    • 4 years ago
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    |x+2|=-(x+2) since x<-2

  2. myininaya
    • 4 years ago
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    \[\lim_{x \rightarrow -2^-}-\frac{(x-3)(x+2)}{x+2}=\lim_{x \rightarrow -2^-}-(x-3)=-(-2-3)=-(-5)=5\]

  3. suju101
    • 4 years ago
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    should i follow the same procedure in case of lim x--> 2+^

  4. myininaya
    • 4 years ago
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    is that x->-2^+?

  5. suju101
    • 4 years ago
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    yes

  6. myininaya
    • 4 years ago
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    that would mean |x+2|=x+2 since x>-2

  7. myininaya
    • 4 years ago
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    \[\lim_{x \rightarrow -2^+}\frac{(x-3)(x+2)}{x+2}=\lim_{x \rightarrow -2^+}(x-3)=-2-3=-5\]

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