Verified answer

(x - 25)/(√x - 5) = (√x + 5)(√x - 5)/(√x - 5) = √x + 5 --> √25 + 5 = 5 + 5 = 10

The limit is 10.

Lim x->25 (x-25)/(√x-5) =

Lim x->25 (√x-5)(√x+5)/(√x-5) =

Lim x->25 (√x+5) = √25+5 = 10

0