/-1 + cos(x)\ lim |-----------| x->1+\ log(x) /
Limit((-1 + cos(x))/log(x), x, 1)
-oo
= -70.4899908688689
/-1 + cos(x)\ lim |-----------| x->1-\ log(x) /
oo
= 68.3473561292803
-70.4899908688689