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Moderate Rational functions Worksheets

Limits

Moderate

Rational functions

1. \lim _{x\to \infty}(\frac{4x^2+x^6}{1-5x^3})

1. \lim _{x\to \infty}(\frac{4x^2+x^6}{1-5x^3})

2. \lim _{x\to \infty}(\frac{5x^{3}+1}{x^{2}-4})

2. \lim _{x\to \infty}(\frac{5x^{3}+1}{x^{2}-4})

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

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

4. \lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})

4. \lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})

5. \lim _{x\to -\infty}(\frac{12-6x^2}{3x+x^2})

5. \lim _{x\to -\infty}(\frac{12-6x^2}{3x+x^2})

6. \lim _{x\to \infty}(\frac{x}{x+1})

6. \lim _{x\to \infty}(\frac{x}{x+1})

7. \lim _{x\to \infty}(\frac{x}{x^{2}+1})

7. \lim _{x\to \infty}(\frac{x}{x^{2}+1})

8. \lim _{x\to -\infty}(\frac{7x^2-9}{4x+3})

8. \lim _{x\to -\infty}(\frac{7x^2-9}{4x+3})

9. \lim _{x\to \infty}(\frac{3x^{2}+20x}{2x^{4}+3x^{3}-29})

9. \lim _{x\to \infty}(\frac{3x^{2}+20x}{2x^{4}+3x^{3}-29})

10. \lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})

10. \lim _{x\to \infty}(\frac{x+x^3+x^5}{1-x^2+x^4})

Answers

Limits

Moderate

Rational functions

1. -\infty

2. \infty

3. 0

4. \infty

5. -6

6. 1

7. 0

8. -\infty

9. 0

10. \infty