Evaluate the following limit : lim(x→1) (1/(x - 1) - 2/(x^2 - 1))

Question

Evaluate the following limit : \(\lim\limits_{\text x \to 1}\left(\cfrac{1}{\text x-1}-\cfrac{2}{\text x^2-1}\right) \)

lim(x→1) (1/(x - 1) - 2/(x² - 1)) 

Answer 1

\(\lim\limits_{\text x \to 1}\left(\cfrac{1}{\text x-1}-\cfrac{2}{\text x^2-1}\right) \)

Since a³ + b³ = (a + b) (a² + b²- ab) & a² - b² = (a + b) (a - b)