7(x – 3) – 5(2x - 4) = 5
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The limit is presented in the following undefined form:
In cases like this, we can use de l'Hospital rule, which states that this limit, if it exists, is the same as the limit of the derivatives of numerator and denominator.
So, we switch
The derivative of the numerator is
Whereas the derivative of the denominator is
So, the new limit is
So, it would seem that we didn't solve anything, but indeed we have! Recall the limit
to conclude that the limit converges to \dfrac{6}{25} [/tex]