The solution of limits is very important part of the mathematical analysis. The limit of function is not the most difficult section. So to learn to solve limits it is possible pretty fast.
Instruction
1. First of all to learn to solve limits, it is necessary to understand what is a limit. This concept means that some variable depending on some other size approaches concrete value in process of change of this second size. The limit can be designated by the sign lim (x). Under this sign it is specified what aspires to x. If under it it is specified, for example x> 5, it shows that the value also constantly aspires to five. Record is read so "a function limit at x, aspiring to five". Now there is a huge number of ways for the solution of limits.
2. In order that it is better to understand, sort the following example. Let's allow it is given: lim at x> 2=3kh-4/h +3. At first try to understand for sbya what implies that "x aspires to two". This expression means what changes also over time the values. But these values every time are closer and closer to the size equal to two. In other words, it is 2.1, then 2,01, 2,001, 2,0001, 2,00001. And so indefinitely.
3. From the above it is possible to draw an unambiguous conclusion that x in number practically coincides with the size equal to two. On this basis it is very easy to solve this example. It is necessary just to substitute the two in the set function. It will turn out: 3*2-4/2+3=6-2+3=7.