If we let {{MATH_135}}, the size of the interval will go to {{MATH_136}}. As {{MATH_137}} approaches {{MATH_138}}, we are computing the average velocity on smaller and smaller time intervals, and the limit of these average velocities is called the {{CMD_139}}instantaneous velocity{{CMD_140}} at {{MATH_141}}. Limits will allow us to compute instantaneous velocity. {{CMD_142}}{{CMD_143}}{{CMD_144}} As before, suppose {{MATH_145}} denotes the position, at the time {{MATH_146}}, of an object moving along a line. Let {{MATH_147}} be the average velocity on the interval {{MATH_148}} if {{MATH_149}} and on interval {{MATH_150}} if {{MATH_151}}. The {{CMD_152}} at the time {{MATH_153}} is given by {{MATH_154}}