Question

Evaluate: (lim)┬(x→1)⁡(2/(1-x^2 )+1/(x-1))

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Answer 1

Answer:

lim_(xrarr1)(1/(x-1)-2/(x^2-1)) = lim_(xrarr1)((x+1)-2)/((x+1)(x-1))

= lim_(xrarr1)(x-1)/((x+1)(x-1)) = lim_(xrarr1) 1/(x+1) = 1/2