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?)

Use the graph to find the limit if it exists If the limit does not exist explain why lim tan x x gt pi2 Can someone explain to me why the answer is what it is t class=

Respuesta :

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.