Under inflationary conditions, the method that will not show the highest value of closing stock is LIFO (Last In, First Out) and Weighted Average.

Explanation:

FIFO (First In, First Out):
- FIFO assumes that the items that are purchased first are sold first.
- Under inflationary conditions, the prices of goods tend to increase over time.
- As FIFO assumes that older inventory is sold first, the closing stock will consist of the most recently purchased inventory, which is valued at the higher prices.
- Therefore, FIFO will show the highest value of closing stock under inflationary conditions.

LIFO (Last In, First Out):
- LIFO assumes that the items that are purchased last are sold first.
- Under inflationary conditions, the prices of goods tend to increase over time.
- As LIFO assumes that the most recently purchased inventory is sold first, the closing stock will consist of the older inventory, which is valued at the lower prices.
- Therefore, LIFO will not show the highest value of closing stock under inflationary conditions. This is because the closing stock is valued at the lower prices.

Weighted Average:
- Weighted Average method calculates the average cost of inventory by dividing the total cost of goods available for sale by the total number of units.
- Under inflationary conditions, the prices of goods tend to increase over time.
- The weighted average method considers both the older and newer inventory in the calculation of average cost.
- Therefore, the weighted average method will also not show the highest value of closing stock under inflationary conditions.

Conclusion:
- Under inflationary conditions, FIFO is the method that will show the highest value of closing stock.
- LIFO and weighted average methods will not show the highest value of closing stock under inflationary conditions.