Question

Lim x tiende a 0 senx - tanx/ 1 - cosx

Answer 1

lim (sin(x)-tan(1/1 x)-cos(x))
(x->0)

sin(x)-tan(x 1/1)-cos(x) = -cos(x)+sin(x)+-(sin(x))/(cos(x)):
lim (-cos(x)+sin(x)+-(sin(x))/(cos(x)))
(x->0)
lim (x->0) (-cos(x)+sin(x)+-(sin(x))/(cos(x))) = -cos(0)+sin(0)+-(sin(0))/(cos(0)) = -1:

=-1