Limit x mendekati 1. (1/1-x) - (3/1-x^3) adalah

limit bentuk 0/0

lim (x-> 1)  1/(1-x)  - 3/(1-x³) =
.
= lim(x->1) 1/(1-x) - 3/(1-x)(1+x+x²) ...(samakan penyebutnya)
= lim(x->1) (1+x+x² -3)/ (1-x)(1+x+x²)
= lim(x->1) (x²+x-2)/(1-x)(1+x+x²)
= lim(x->1) (x-1)(x+2)/(1+x)(1+x+x²)
= lim(x->1) -(1+x)(x+2) / (1+x)(1+x+x²)...(coret yg (1+x) nya)
= lim(x->1) - (x+2)/(1+x+x²)
substitusikan x = 1
= -(1+2)/ (1+1+1)
= - 3/3
 = - 2