Lim x–3 3-x\3-√x+6

To find the limit of the function as x approaches -3, we substitute -3 into the function:

lim x→-3 (3-x)/(3-√(x+6))

= (3-(-3))/(3-√(-3+6))

= 6/(3-√3)

To simplify further, we can rationalize the denominator:

= (6*(3+√3))/((3-√3)*(3+√3))

= (18+6√3)/(9-3)

= (18+6√3)/6

= 3+√3

Therefore, the limit of the function as x approaches -3 is 3+√3.