lim x → 1 x 2 − 1 x + 1 = lim x → 1 ( x + 1 ) ( x − 1 ) x + 1 {\displaystyle \lim _{x\to 1}{\frac {x^{2}-1}{x+1}}=\lim _{x\to 1}{\frac {{\cancel {(x+1)}}(x-1)}{\cancel {x+1}}}}
= lim x → 1 x − 1 {\displaystyle =\lim _{x\to 1}{x-1}}
= 0 {\displaystyle =0}
