2011/079) Find the limit. lim[x->179] (x-179) / [ √(x+17) - 14]

(x-179) / [ √(x+17) - 14] (of the form 0/0)
= (x-179) [ √(x+17) + 14]/( [ √(x+17) + 14] [ √(x+17) - 14] ) rationalizing denomenator
= (x-179) [ √(x+17) + 14]/(x^1+17-196)
= (x-179) [ √(x+17) + 14]/(x^1-179)
= [ √(x+17) + 14]
and putting x= 179 we get 14+14 = 28