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Limits at Infinity Practice Questions

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Updated on Oct 1, 2011

To review these concepts, go to Limits at Infinity Study Guide.

Limits at Infinity Practice Questions

Evaluate the following infinite limits.

Evaluate the following limits,

Name all the asymptotes, vertical and horizontal, of the following functions. Also, make a sign diagram for each.

Evaluate the following limits.

Solutions

  1. 0
  2. 0
  3. –∞
  4. 1
  5. 0
  6. 3
  7. –∞
  8. 0
  9. 0
  10. 0
  11. vertical asymptote at x = 4, horizontal asymptote at y = 1, sign diagram: Limits at Infinity
  12. vertical asymptotes at x = 2 and x = – 2, horizontal asymptote at y = 0, sign diagram: Limits at Infinity
  13. vertical asymptote at x = – 3, horizontal asymptote at y = 1, sign diagram: Limits at Infinity
  14. vertical asymptotes at x = 1 and x = 3, horizontal asymptote at y = 0, sign diagram: Limits at Infinity
  15. –∞
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