Srimad Bhagavatam Canto 05, Chapter 04, Text 09

SB 5.4.9

yesam khalu maha-yogi bharato jyesthah srestha-guna asid yenedam varsam bharatam iti vyapadisanti.
 
Translation by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada: 
 
Of Rsabhadeva’s one hundred sons, the eldest, named Bharata, was a great, exalted devotee qualified with the best attributes. In his honor, this planet has become known as Bharata-varsa.
 
Purport by His Divine Grace A. C. Bhaktivedanta Swami Srila Prabhupada: 
 
This planet known as Bharata-varsa is also called punya-bhumi, the pious land. At the present moment Bharata-bhumi, or Bharata-varsa, is a small piece of land extending from the Himalaya Mountains to Cape Comorin. Sometimes this peninsula is called punya-bhumi. Sri Caitanya Mahaprabhu has given special importance to the people of this land.
 
bharata-bhumite haila manusya-janma yara
 janma sarthaka kari’ kara para-upakara
 
“One who has taken his birth as a human being in the land of India (Bharata-varsa) should make his life successful and work for the benefit of all other people.” (Cc. Adi 9.41) The inhabitants of this piece of land are very fortunate. They can purify their existence by accepting this Krsna consciousness movement and go outside Bharata-bhumi (India) and preach this cult to benefit the whole world.
Srimad Bhagavatam Canto 05, Chapter 04, Text 08
Srimad Bhagavatam Canto 05, Chapter 04, Text 10