Question

TOLONg BGT
lim sin (-x) + cos x per tan x , x mendekati pi per 4 =.....

Answer 1

Karena gak 0/0, tinggal langsung subtitusi x = 0
jadi,
lim x-> π/4     (sin(-x) + cosx)/tanx
= lim x-> π/4  (sin(-π/4) + cos(π/4))/tan(π/4)
= lim x-> π/4  (-sin(π/4) + cos(π/4))/tan(π/4)
= (- 1/2 √2 + 1/2 √2)/1
= 0