To verify item {{CMD_125}} we must check that {{MATH_126}} exists. Again, the formula for {{MATH_127}} changes around {{MATH_128}} so we check the one-sided limits. From the left: {{ENV_129}} Looking at the limit from the right, we have {{ENV_130}} In order for {{MATH_131}} to exist, these must be equal. {{ENV_132}} This means item {{CMD_133}} is satisfied for {{MATH_134}} and {{MATH_135}} with {{MATH_136}}. Item {{CMD_137}} is then satisfied for all {{MATH_138}} and {{MATH_139}} with {{MATH_140}}, since this gives {{MATH_141}} and {{MATH_142}}. So in order to be continuous at BOTH {{MATH_143}} AND {{MATH_144}}, we have two equations and two unknowns: {{MATH_145}} Set {{MATH_146}} and write {{ENV_147}} hence {{MATH_148}} Let's check, so now plugging in values for both {{MATH_149}} and {{MATH_150}} we find {{MATH_151}} Now {{MATH_152}} and {{MATH_153}} So setting {{MATH_154}} and {{MATH_155}} makes {{MATH_156}} continuous at {{MATH_157}} and {{MATH_158}}. {{CMD_159}} We can confirm our results by looking at the graph of {{MATH_160}}: {{MATH_161}} {{CMD_162}} {{CMD_163}} {{CMD_164}}