Questions from General Calculus


Q: Rewrite the expression without using the absolute value symbol. |√

Rewrite the expression without using the absolute value symbol. |√5 – 5|

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Q: Solve the equation for x. |x + 3|

Solve the equation for x. |x + 3| = |2x + 1|

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Q: Solve the equation for x. |3x + 5|

Solve the equation for x. |3x + 5| = 1

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Q: (a). How would you formulate an ∈1δ definition of

(a). How would you formulate an ∈1δ definition of the one-sided limit limx→a+ f (x) = L? (b). Use your definition in part (a) to prove that limx→a+ √x = 0.

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Q: Solve the inequality. |x| < 3

Solve the inequality. |x| < 3

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Q: Solve the inequality. |x| > 3

Solve the inequality. |x| > 3

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Q: Solve the inequality. |x – 4| < 1

Solve the inequality. |x – 4| < 1

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Q: Solve the inequality. |x – 6| < 0

Solve the inequality. |x – 6| < 0.1

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Q: Solve the inequality. |x + 5| > 2

Solve the inequality. |x + 5| > 2

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Q: Solve the inequality. |x + 1|> 3

Solve the inequality. |x + 1|> 3

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