Express Sums Challenge

Here I present you with some old problems from J.A.H. Hunter.
Rules:
Using all four ditgits each time, one of each but no other digits at all, you form expressions for the successive numbers from one up, until you can't go further. Any arithmetical signs may be used, but no factorial or summation symbols in the first 6 questions. You may use roots, powers, decimals (both regular and repeating).

1. Find all solutions for the numbers 2359
   For example, 53+9-2 is a solution for 60. The limit without a break
   seems to be 112.
2. Find all solutions for the numbers 2458
   For example, 8+2+5 -4 is a solution for 11. The limit without a break
   seems to be 118.
3. Find all solutions for the numbers 1355
   For example, 35-5+1 is a solution for 31. The limit without a break
   seems to be 84.
4. Find all solutions for the numbers 1166
   For example, (sqrt(16) -1)*6 is a solution for 18. The limit without a break
   seems to be 82.
5. Find all solutions for the numbers 1248
   For example, 41 + 2 - 8 is a solution for 35. The limit without a break
   seems to be 106.
6. Find all solutions for the numbers 1359
   For example, 1+3+5+9 is a solution for 18. The limit without a break
   seems to be 106.
7. Find all solutions for the numbers 4444, factorial allowed.
   For example, 4+4+4+4 is a solution for 16. The limit without a break
   seems to be 113.
8. Find all solutions for the numbers 5555, factorial allowed.
   For example, (55+5)/5 is a solution for 12. The limit without a break
   seems to be 100.
   
   
   

   Example:
   15 = (5*(3-1))+5
   16 = 5*3 + 1^5
   17 = (15+5)-3
   18 = (55-1)/3
   

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