Original
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}}: