PURPORT

In this verse there are two perplexities. When Krsna saw that Putana had come to kill Him, He thought that since this woman was present with motherly affection, although artificial, He had to offer her a benediction. Therefore He looked at her with a little perplexity and then closed His eyes again. Putana Raksasi also was perplexed. She was not intelligent enough to understand that she was taking a sleeping snake on her lap; she thought the snake to be an ordinary rope. The two words antakam and anantam are contradictory. Because of not being intelligent, Putana thought that she could kill her antakam, the source of her annihilation; but because He is ananta, unlimited, no one can kill Him.