TESTING THE LIMITS OF PARTICLE ACCELERATION IN AN EXTREME TEV BLAZAR WITH NUSTARWE PROPOSE NUSTAR OBSERVATIONS COORDINATED WITH SPECTRAL COVERAGE FROM THE INFRARED TO VERY-HIGH-ENERGY (VHE) GAMMA RAYS OF THE EXTREME HIGH-SYNCHROTRON-PEAKED (HSP) BLAZAR 1ES 0502+675. EXTREME HSP BLAZARS REPRESENT THE APPARENT LIMITING CASE FOR PARTICLE ACCELERATION IN BLAZAR JETS WITH EMISSION IN THE HARD X-RAY AND VHE GAMMA-RAY REGIMES. THESE OBSERVATIONS WILL ADVANCE OUR UNDERSTANDING OF PARTICLE ACCELERATION IN EXTREME HSPS AS WELL AS BLAZARS MORE GENERALLY AND WILL ALSO LAY THE FOUNDATION FOR USING 1ES 0502+675 AS A GAMMA-RAY PROBE TO STUDY GAMMA-RAY AND COSMIC RAY PROPAGATION EFFECTS.