  We show that the soft photon, gluon and graviton theorems can be understood
as the Ward-Takahashi identities of large gauge transformation, i.e.,
diffeomorphism that does not fall off at spatial infinity. We found infinitely
many new identities which constrain the higher order soft behavior of the gauge
bosons and gravitons in scattering amplitudes of gauge and gravity theories.
Diagrammatic representations of these soft theorems are presented.
