Evaluate the limit

Question

lim x➡️-5 

x+5/x^2 +7x +10

Answer 1

lim_x→-5 [(x+5) / (x²+7x+10)]  (has the form 0/0)

 

= lim_x→-5 [(x+5) / ((x+5)(x+2))]

 

= lim_x→-5 [1 / (x+2)] = -1/3