Info

| At | < 5 ^ 111 -10 | < 5 ^ - 5 < t1 -10 < 5 ^ t0 - 5 < t1 < t0 + 5

Simply speaking it is not possible to think t1 as approximating t0 from right, in fact, the

state S(t0) that the functions S reaches when t1 becomes t0 from right cannot be the same

state S(t0) that the function assumes as t1 reaches t0 from left.

It is well known that if the left and right limits of a function are not identical then

the limit does not exist. Hence, we must redefine the time derivative of a function as

the left limit, if it exists

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