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Śrīmad-Bhāgavatam
[Canto 1, Ch. 8]
TRANSLATION
O Lord of Madhu, as the Ganges forever flows to the sea, without hindrance, let my attraction be constantly drawn unto You without being diverted to anyone else.
PURPORT
Perfection of pure devotional service is attained when all attention is diverted towards the transcendental loving service of the Lord. To cut off the tie of all other affections does not mean complete negation of the finer elements, like affection for someone else. This is not possible. A living being, whoever he may be, must have this feeling of affection for others because this is a symptom of life. The symptoms of life, namely desire, anger, hankerings, feelings of attraction, etc., cannot be annihilated. Only the objective has to be changed. Desire cannot be changed, but in devotional service the desire is changed only for the service of the Lord in place of desire for sense gratification. The so-called affection for family, society, country, etc., are different phases of sense gratification. When this desire is changed for the satisfaction of the Lord, it is called devotional service.
In the  Bhagavad-gītā  we can see that Arjuna desired not to fight with his brothers and relations just to satisfy his own personal desires. But when he heard the message of the Lord,  Śrīmad-Bhagavad-gītā , he changed his decision and served the Lord. And for his doing so, he became a famous devotee of the Lord, for it is declared in all the scriptures that Arjuna attained spiritual perfection by devotional service to the Lord in friendship. The fighting was there, the friendship was there, Arjuna was there, and Kṛṣṇa was there, but Arjuna became a different person by devotional service. Therefore, the prayers of Kuntī also indicate the same categorical changes in activities. Śrīmatī Kuntī wanted to serve the Lord without diversion, and that was her prayer. This unalloyed devotion is the ultimate goal of life. Our attention is usually diverted in the service of something which is nongodly or not in the program of the Lord. When the program is changed into the service of the Lord, that is to say when the senses are purified in relation with the service of the Lord, it is called pure unalloyed devotional service. Śrīmatī Kuntīdevī wanted that perfection and prayed for it from the Lord.
Her affection for the Pāṇḍavas and the Vṛṣṇis is not out of the range of devotional service because service of the Lord and the service of the