Soal limit matematika kelas 11 [tex]lim \: \: \: \: \: \: \frac{1 - \tan \: x}{x - \frac{\pi}{4} } \\ x = \frac{\pi}{4} [/tex]

jawb

1- tan x  = - (tan x - 1)
1 - tan x = - { tan (x - π/4)(1 + tan x)}

lim (x-> π/4)   - { tan (x - π/4) (1 +tan x )/ (x - π/4)

lim (x -> π/4)   tan (x - π)/(x- π/4) . -(1 + tan x)

lim(x -> π/4)  -1 - tan x
x = π/4 , limit = - 1 - tan (π/4)  = -1 - 1 = - 2