Compute: {{MATH_115}} {{CMD_116}} First let's look at the form of this limit, which we do by taking the limits of both the numerator and denominator separately. {{MATH_117}} This limit is of the form {{CMD_118}}. Next, we should factor the numerator and denominator to see if we can simplify the problem at all. {{ENV_119}} Canceling a factor of {{MATH_120}} in the numerator and denominator means we can more easily check the behavior of this limit. As {{MATH_121}} approaches {{MATH_122}} from the right: {{CMD_123}} {{CMD_124}} The numerator is a {{CMD_125}}{{CMD_126}}positive{{CMD_127}}{{CMD_128}}negative{{CMD_129}}{{CMD_130}} number. {{CMD_131}} The denominator is {{CMD_132}}{{CMD_133}}positive{{CMD_134}}{{CMD_135}}negative{{CMD_136}}{{CMD_137}} and approaching zero. {{CMD_138}} This means that {{MATH_139}} {{CMD_140}} {{CMD_141}} Again, to determine if the numerator will be positive or negative for all {{MATH_142}} sufficiently close to, but greater than, {{MATH_143}}, we cannot plug in a single value of {{MATH_144}}. (Even plugging in {{MATH_145}} would not be enough to justify our resullt.