The First Remarkable Limit and Its Generalization
The following limit exists and equals 1:
.
Example: (1) , 2) .
The first generalized remarkable limit. The first remarkable limit can be generalized, namely, written in the more general form (4)
In this formula, (х) is an infinitesimal; it is very important that the argument of the sine and the denominator must be absolutely identical. Examples. (1) ,
(2) .
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