💡 Detailed Explanation
The adverb 'ぜひ' (zehi) is used to express a strong desire, invitation, or request (by all means / definitely). It typically pairs with patterns like '〜てください' (please do), '〜たいです' (want to do), or '〜ましょう' (let's do). Option 3 is correct: 'Next time, please definitely come to visit my country.' Option 1 is incorrect because 'ぜひ' is used for positive wishes/invitations, not negative rules or obligations ('don't forget homework'). Option 2 is incorrect because 'ぜひ' does not fit inside a permission seeking question ('may I open the window?'). Option 4 is incorrect because 'ぜひ' cannot be used for neutral predictions/weather forecasts ('it will rain tomorrow').