This method mainly uses the derivative and limit of the numerator and denominator to determine the value of the indefinite form under certain conditions. Before applying the L'H?pital rule, two tasks must be completed.
One is whether the limits of numerator and denominator are equal to zero or infinity.
The second is whether the numerator and denominator are differentiable in a limited area.
If these two conditions are satisfied, then take derivative and judge whether the limit after derivative exists. If it exists, you can get the answer directly. If it doesn't exist, it means that this indefinite form can't be solved by L'H?pital's law. If you are not sure, the result is still uncertain, and then continue to use L'H?pital's law on the basis of verification.
L'H?pital was a French aristocrat in the Middle Ages. He liked and loved mathematics, and later came to Bernoulli to study mathematics.
The well-known Robida's law was actually not studied by L'H?pital himself, but by his teacher Bernoulli. At that time, due to Bernoulli's difficult situation and life, and the student L'H?pital was an aristocrat, L'H?pital offered to exchange his property for Bernoulli's academic papers.
Bernoulli also readily accepted the content of Robida's law. For the limit problem of infinitives under certain conditions, we can first deduce it from denominator and numerator, and then find the limit.