While these tables don't prove that we have a pattern, it turns out that {{MATH_21}} Moreover, if you do more examples, choosing other values for the base {{MATH_22}}, you will find that the limit varies directly with the value of {{MATH_23}}: bigger {{MATH_24}}, bigger limit; smaller {{MATH_25}}, smaller limit. As we can already see, some of these limits will be less than {{MATH_26}} and some larger than {{MATH_27}}. Somewhere between {{MATH_28}} and {{MATH_29}} the limit will be exactly {{MATH_30}}. This happens when {{MATH_31}} We will define the number {{MATH_32}} by this property in the next definition: {{CMD_33}}{{CMD_34}} The number denoted by {{MATH_35}}, called {{CMD_36}}, is defined to be the number satisfying the following relation {{MATH_37}} {{CMD_38}}