Hello! I have a question: how to find value of , if we know value of and we shouldnt find x, because it may be very-very big? Is it impossible?
Hello! I have a question: how to find value of , if we know value of and we shouldnt find x, because it may be very-very big? Is it impossible?
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UPD: Это разные функции, но ничего. Уверен, они дают повод для размышлений.
for very large x.
Of course, if x is very-very big, then up to precision of your data types, the difference is negligible (if is in the order of 103, is in the order of 10 - 400) and you can just write .
It can be shown that error is asymptotically small enough.
(Mean value theorem)
Thus if x if large enough you may say that and get the error of order not more than O(1 / x2).
Actually you could take first k elements of Taylor series and precision will be