What is the limit of lim (tan(x-(p/2))/(x-(p/2)-cos(x)) when x approach to (p/2) ?

tan(x-(p/2)) not tan (x+(p/2))

Please I need detailed answer.

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i said the lim_(x -gt pi/2) (tan(x-pi/2))/((x-pi/2)-cos(x))`
not lim_(x -gt pi/2) (tan(x-pi/2)/(x-pi/2)-cos(x))`

I'm so sorry I mistyped again the syntax of limit
it's lim (tan(x-(p/2))/(x-(p/2)+cos(x))
not lim (tan(x-(p/2))/(x-(p/2)-cos(x))
the sign of cos will make difference you will get +ifini -infini but I can't prove that i just GeoGebra to draw it.
so can you please explain me how can i calculate
lim (tan(x-(p/2))/(x-(p/2)+cos(x)) ?
I'm sorry again

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