Sāṅkhya Yoga · Verse 18
"अन्तवन्त इमे देहा नित्यस्योक्ताः शरीरिणः | अनाशिनोऽप्रमेयस्य तस्माद्युध्यस्व भारत"
"anta-vanta ime dehā nityasyoktāḥ śarīriṇaḥ | anāśino 'prameyasya tasmād yudhyasva bhārata"
These bodies have an end; they are said to be of the eternal, of the indestructible, of the immeasurable embodied one. Therefore, fight, oh Bhārata
The body (deha) has anta (end, term) — it is anta-vanta (limited). But it is ukta (said, declared by scripture) to be of the śarīrin (the one who possesses a body), who is nitya (eternal), anāśin (indestructible), aprameya (immeasurable, ungraspable by ordinary instruments).
The conclusion: tasmāt (therefore, from this) yudhyasva (fight). The logical deduction from the immortality of the ātman is that there is no reason not to act. Death of the body is not harm to the true being.
Bhārata — reminder of warrior lineage. Duty (dharma) is reaffirmed on metaphysical foundation.