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There are two interesting things to note here: We are left with a limit that involves {{MATH_10}} but not {{MATH_11}}, which means that whatever {{MATH_12}} is, provided it exists, we know that it is a number, or in other words, a constant. This means that {{MATH_13}} has a remarkable property: {{CMD_14}} {{CMD_15}}The derivative of an exponential function is a constant times itself.{{CMD_16}} {{CMD_17}} Unfortunately it is beyond the scope of this text to compute the limit {{MATH_18}} However, we can look at some examples. Consider {{MATH_19}} and {{MATH_20}}:

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