Valmiki Ramayana Kishkindha Kanda Sarga 44 Shloka 10
Original Shlokaतदेवं प्रस्थितस्यास्य परिज्ञातस्य कर्मभिः। भर्त्रा परिगृहीतस्य ध्रुवः कार्यफलोदयः।।4.44.10।।
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तत् since, एवम् in that way, प्रस्थितस्य of a person who goes forth, कर्मभिः with his tasks, परिज्ञातस्य who is known, भर्त्रा king Sugriva, परिगृहीतस्य favoured, अस्य his, कार्यफलोदयः success in his task, ध्रुवः sure.
'The king Sugriva knows for sure that if Hanuman goes forth, success is assured. So he favours him.'