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Calculus Function problem


newton333

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The numerator is negative for x ~ -1. The denominator switches sign at x = -1. For x > -1 (~1), the denomiator is negative. As a result the ratio is positive.

 

Another way, using your analysis is (-1 + ε)^2 - 1 ~ 1 -2ε -1 = -2ε. This gives a + sign to your ratio.

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