Question

Use the graph to find the limit (if it exists). If the limit does not exist, explain why.

Answer 1

Answer:

  the limit does not exist

Step-by-step explanation:

As x approaches π/2 from below, tan(x) approaches +∞. A x approaches π/2 from above, tan(x) approaches -∞. These two limits are not the same, so the limit is said not to exist.

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For a limit to exist, it must be the same regardless of the direction of approach.