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Ymorist [56]
2 years ago
6

Lim x →1+. 1- x/x² - 1

Mathematics
1 answer:
mamaluj [8]2 years ago
8 0

Answer:  \displaystyle \boldsymbol{-\frac{1}{2}}

================================================

Work Shown:

\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{1-\text{x}}{\text{x}^2-1}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-(\text{x}-1)}{(\text{x}-1)(\text{x}+1)}\\\\\\\displaystyle L = \lim_{\text{x}\to 1^{+}} \frac{-1}{\text{x}+1}\\\\\\\displaystyle L = \frac{-1}{1+1}\\\\\\\displaystyle L = -\frac{1}{2}\\\\\\

In the second step, I used the difference of squares rule to factor.

The (x-1) terms cancel which allows us to plug in x = 1. We plug this value in because x is approaching 1 from the right side.

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The distance between City A and City B is 250 miles. A length of 2.3 feet represents this distance on a certain wall map. City C
masya89 [10]

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<u>Solution:</u>

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A gardener has 46ft of fencing to be used to enclose a rectangular garden that has a border 2 feet wide surrounding it. If the l
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