Question: Verify that | x 2 - 4 | 0 . 0 0 0 1 i s true for all numbers x that are sufficiently close

Verify that |x2-4|0.0001is true for all numbers x that are sufficiently close to2.In
other words, show that the inequality is satisfied if the distance from 2toxis small enough.
How small is "small enough"?
Verify that | x 2 - 4 | < 0 . 0 0 0 1 i s true

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