lim_(x rarr pi/4)(1+[x])^(ln(tan n))

The value of lim_(x rarr(pi)/(4))(1+[x])^(1/ln(tan x)) (wheref..] denote the greatest integer function) is equal to

lim_ (x rarr (pi) / (4)) (1+ [x]) ^ ((1) / (log tan x))

lim_(x rarr pi)sgn[tan x]

lim_ (x rarr pi) (1 + cos x) / (tan ^ (2) x)

lim_(x rarr0+)(ln cot x)^(tan x)=

lim_ (x rarr (pi) / (4)) (tan x) ^ (tan2x)

lim_ (x rarr (pi) / (4)) (tan ^ (3) x-tan x) / (cos (x + (pi) / (4)))

lim_ (x rarr (pi) / (4)) (1-tan x) / (x- (pi) / (4))

lim_(x rarr((pi)/(2)))(1-sin x)tan x=

lim_ (x rarr pi) ((1 + cos x) / (tan ^ (2) x))