Question

Find the limit. lim (x-5)/((x^2)-25) x-> 5+

Answer 1

`\lim_(x \to 5) (x-5)/( x^(2) -25) =( (0)/(0) ) = \\ =\lim_(x \to 5) (x-5)/((x-5)(x+5))= \\ =\lim_(x \to 5) (1)/(x+5)= \\ = (1)/(5+5)= (1)/(10)` = 0.1