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Moderate Factoring Worksheets

Limits

Moderate

Factoring

1. \lim _{x\to 4}(\frac{x^2-6x+8}{x-4})

1. \lim _{x\to 4}(\frac{x^2-6x+8}{x-4})

2. \lim _{x\to 2}(\frac{x^2-4}{x-2})

2. \lim _{x\to 2}(\frac{x^2-4}{x-2})

3. \lim _{x\to -2}(\frac{x+2}{x^3+8})

3. \lim _{x\to -2}(\frac{x+2}{x^3+8})

4. \lim _{x\to -5}(\frac{x^2-25}{x^2+4x-5})

4. \lim _{x\to -5}(\frac{x^2-25}{x^2+4x-5})

5. \lim _{x\to 1}(\frac{x^3-x}{x^2-1})

5. \lim _{x\to 1}(\frac{x^3-x}{x^2-1})

6. \lim _{x\to -1}(\frac{x^2+x}{x+1})

6. \lim _{x\to -1}(\frac{x^2+x}{x+1})

7. \lim _{x\to 4}(\frac{(5x-20)}{(x-4)})

7. \lim _{x\to 4}(\frac{(5x-20)}{(x-4)})

8. \lim _{x\to 5}(\frac{x^2-5x}{x-5})

8. \lim _{x\to 5}(\frac{x^2-5x}{x-5})

9. \lim _{x\to -1}(\frac{x^3+x^2}{x+1})

9. \lim _{x\to -1}(\frac{x^3+x^2}{x+1})

10. \lim _{x\to 1}(\frac{x^2-1}{x-1})

10. \lim _{x\to 1}(\frac{x^2-1}{x-1})

Answers

Limits

Moderate

Factoring

1. 2

2. 4

3. \frac{1}{12}

4. \frac{5}{3}

5. 1

6. -1

7. 5

8. 5

9. 1

10. 2