Step 1: Parenteral nutrition (PN) delivers nutrients directly into a vein, bypassing the gastrointestinal tract, so every component must be infusible in a dissolved or emulsified form.
Step 2: Standard PN provides carbohydrate as dextrose (the main calorie source), fat as intravenous lipid emulsions, amino acids for protein, plus electrolytes, vitamins and trace elements (micronutrients).
Step 3: Dietary fibre is an indigestible plant polysaccharide whose function depends on bulk and fermentation within the colon; it cannot be infused into the bloodstream and has no role when the gut is bypassed.
Step 4: Therefore fibre is the one item not included in parenteral nutrition, whereas fat, carbohydrate and micronutrients all are.
Conclusion: Option 3 (Fibres) is correct.