lim x → 1 [tex] \frac{sin(1 - \frac{1}{x}) cos(1 - \frac{1}{x}) }{1 - x} [/tex]

Kelas 11 Matematika
Bab Limit

lim ((sin (1 - (1/x)) . cos (1 - (1/x))/(1 - x)
x→1

= lim ((sin (1 - (1/x)) . cos (1 - (1/x)) / ( x ((1/x) - 1))
...x→1

= lim ((sin (1 - (1/x)) . cos (1 - (1/x)) / (-x (1 - (1/x)))
...x→1

= (cos (1 - (1/1))/(-1)
= - cos 0
= -1