Estimation and Limits -- One-Sided Limits -- Answers

  1. The righthand limit is +1 and the lefthand limit is -1.

  2. The righthand limit is +1 and the lefthand limit is +1.

  3. The righthand limit is 7 and the lefthand limit is 6.

  4. The righthand limit is 10 and the lefthand limit is 10.

  5. The righthand limit is undefined since the function is undefined close to 2 on the right and the lefthand limit is 0.

  6. The righthand limit is 0 and the lefthand limit is undefined.

  7. The righthand limit is the square root of 3 and the lefthand limit is the square root of 3.

  8. The righthand limit is undefined and the lefthand limit is undefined.

  9. The righthand limit is 0 and the lefthand limit is undefined.


Copyright c 1995 by Frank Wattenberg, Department of Mathematics, Carroll College, Helena, MT 59625