A {{CMD_130}}rational function{{CMD_131}} h, meaning a function of the form {{MATH_132}} where {{MATH_133}}and {{MATH_134}} are polynomials, is {{CMD_135}}continuous{{CMD_136}} for all real numbers except where {{MATH_137}}. That is, rational functions are continuous wherever they are defined. {{CMD_138}} Let {{MATH_139}} be a real number such that {{MATH_140}}. Then, since {{MATH_141}} is continuous at {{MATH_142}}, {{MATH_143}}. Therefore, write with me, {{MATH_144}} and now by the Quotient Law, {{MATH_145}} and by the continuity of polynomials we may now set {{MATH_146}} {{MATH_147}} Since we have shown that {{MATH_148}}, we have shown that {{MATH_149}} is continuous at {{MATH_150}}. {{CMD_151}} {{CMD_152}}