Generally, the limit between infinity and infinity cannot be directly calculated. We can simplify it and calculate it by grasping the law or L'H?pital's law. L'H?pital's law is a good way to find the limit of fraction. When encountering a score of 0/0 or ∞ /∞, L'H?pital can be used, and other forms can also be converted into this form.
The following is the limit calculation method from infinity to infinity:
1, factorization, so that the denominator will not be zero by simplification. If there is a root sign in the denominator, you can remove the root sign by a factor. The above solutions are all carried out under the condition that the trend value is constant. If it tends to infinity, the numerator denominator can be divided by the highest power of the independent variable at the same time. This theorem is usually used: the reciprocal of infinity is infinitesimal.
2. L'H?pital's Law: The limit of a fraction that conforms to the form is equal to the simultaneous derivation of the numerator and denominator of the fraction. L'H?pital's law is a good way to find the limit of fraction. When encountering a score of 0/0 or ∞ /∞, L'H?pital can be used, and other forms can also be converted into this form.
Refer to Baidu Encyclopedia-Limits for the above information.