Question

If lim_(x→∞) ((x² + 1)/(x + 1) – ax – b) = 0, find the values of a and b. 

Answer 1

Given, lim_(x→∞) ((x² + 1)/(x + 1) – ax – b) = 0

It is possible only when, 1 – a = 0 and (a + b) = 0 

 Thus, a = 1 and b = –1