Haskell, 25 bytes 17 bytes
(!!)$concat$map show[1..]
Champernowne's Constant can be 0 or 1 indexed as C10*.01 is still transcendental.
Edit: as per nimis comment you can use the list monad to reduce this to
(!!)$show=<<[1..]
Haskell,
Matt R
- 31
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