When {{MATH_83}}, the quantity {{MATH_84}} is positive (because {{MATH_85}}) and approaches {{MATH_86}} and the numerator is negative. This is a {{CMD_87}} form which is negative for all {{MATH_88}} sufficiently close to, but greater than, {{MATH_89}}. Therefore, {{MATH_90}}. ({{CMD_91}}Note:{{CMD_92}} Computing this one-sided limit is enough to justify that {{MATH_93}} is a vertical asymptote of the function {{MATH_94}}. We will proceed to calculate the other one-sided limit to see if anything can be said about the two-sided limit.)