Create an indexed list of functions [duplicate]

I am trying to use a Table to create the following object:

{f[#,1]&,f[#,2],f[#,3]}


The obvious doesn't work,

Table[f[#, j] &, {j, 1, 3}]


It gives:

{f[#1, j] &, f[#1, j] &, f[#1, j] &}


leaving the j unevaluated. I assume that's due to the HoldAll attribute of Function. How do I get around this? Thanks

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• Also see: (56412) – Mr.Wizard Feb 3 '16 at 14:15

Some possibilities:

Table[With[{j = j}, f[#, j] &], {j, 3}]
Function[{j}, f[#, j] &] /@ Range[3]
f[#, j] & /. List /@ Thread[j -> Range[3]]


This seems to work.

Table[(f[#, i] &) /. i -> j, {j, 1, 3}]
(* {f[#1, 1] &, f[#1, 2] &, f[#1, 3] &} *)


Note that #1 and # are equivalent.