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Basic Divergence Worksheets

Limits

Basic

Divergence

1. \lim _{x\to 0}(\frac{1}{x})

1. \lim _{x\to 0}(\frac{1}{x})

2. \lim _{x\to 5}(\frac{10}{x-5})

2. \lim _{x\to 5}(\frac{10}{x-5})

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

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

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

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

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

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

6. \lim _{x\to 2}\frac{|x-2|}{x-2}

6. \lim _{x\to 2}\frac{|x-2|}{x-2}

7. \lim _{x\to 8}(\frac{1}{(x-8)})

7. \lim _{x\to 8}(\frac{1}{(x-8)})

8. \lim _{x\to 0}(\frac{1}{x^3})

8. \lim _{x\to 0}(\frac{1}{x^3})

9. \lim _{x\to 4}(\frac{1}{x-4})

9. \lim _{x\to 4}(\frac{1}{x-4})

10. \lim _{x\to 0}(\frac{|sin(x)|}{sin(x)})

10. \lim _{x\to 0}(\frac{|sin(x)|}{sin(x)})

Answers

Limits

Basic

Divergence

1. \mathrm{diverges}

2. \mathrm{diverges}

3. \mathrm{diverges}

4. \mathrm{diverges}

5. \mathrm{diverges}

6. \mathrm{diverges}

7. \mathrm{diverges}

8. \mathrm{diverges}

9. \mathrm{diverges}

10. \mathrm{diverges}