The first table shows that we can always find a value of {{MATH_172}} as close as we want to {{MATH_173}} such that {{MATH_174}}. However, the limit is not equal to {{MATH_175}}, since the second table shows that we can also find a value of {{MATH_176}} as close as we want to {{MATH_177}} such that {{MATH_178}}. It turns out that for any number {{MATH_179}}, {{MATH_180}}, we can find a value of {{MATH_181}} as close as we want to {{MATH_182}} such that {{MATH_183}}. Check the graph of the function {{MATH_184}}. {{CMD_185}} {{ENV_186}} {{CMD_187}} We see that {{MATH_188}} oscillates ``wildly'' as {{MATH_189}} approaches {{MATH_190}}, and hence does not approach any one number. {{CMD_191}} {{CMD_192}}