Please give me some tips on how to solve this..

f: (1,∞) -> IR

f(x) = (1/6)((√x)-1)------(√7x) +√7--- (x/6)(√(x-1))

-------------------- + ------------- + -------------

-------√(x²-1) 3 ----------√(x+3)--------√(x²-1)

find exact value of

lim f(x)

x->1+

Thanks.