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Lim [abs(x-7)] / [x-7]
x -> 7 (-)

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Lim [abs(x - 7)] / [x - 7] as x -> 7^-
For x = 6.9: Lim[abs(6.9 - 7) / (6.9 - 7)] = -1
For x = 6.99: Lim[abs(6.99 - 7) / (6.99 - 7)] = -1
For x = 6.999:
Lim[abs(6.999 - 7) / (6.999 - 7)] = -1

Therefore,
Lim [abs(x - 7)] / [x - 7] as x -> 7^- is -1
User Robert Massa
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