After writing the expression as one quotient of two sums of terms that tend to infinity if the term that tends to infinity faster can be identified, then the technique will work.įor example: $\lim_$ can be computed using this same technique. Correct Option: B autocracy (N.) : a system of government of a country in which one person has complete power despotism (N.) : the rule of a ruler with great power, one who uses it in a cruel way monarchy (N.) : a system of government by a king/queen anarchy (N.) : a situation in a country, an organization, etc.
The technique then only requires to have an expression that is formed by adding, subtracting, multiplying and dividing terms that tend to infinity. Moreover, by dividing by one of the terms already in the expression you ensure you are no going to run into the quotient of two functions that tend to zero. By turning parts of this expression from tending to infinity to tending to zero, you are improving the chances of the rules to work. If an expression is only formed by additions (and subtractions) and quotients. But when their limits are zero then it only fails for the quotient.
The rules describing the relation of limits with the arithmetic operations fail when we have the difference, or the quotient of to functions that tend to (+)infinity.
