Question

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

lim tan x
x -> pi/2

(Can someone explain to me why the answer is what it is too?)

Answer 1

the limit does not exist

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.