bo198214 Wrote:Then I dont understand how you compute .

This is one of the logarithmic laws:

Then, we know that , and that . As epsilon goes to 0, this is in fact exact.

Therefore, if B is (1+epsilon), then we can state:

Quote:It is always unclear what you mean by "exact" solution. Isnt everything exact in mathematics except if we say its approximate? A limit for example is exact if it exists regardless what difficulties we have with numeric computation.

I mean exact only when the limits I provide are taken to infinity. Otherwise, they are definitely approximate, just like I say the following value is "approximately" equal to e for a finite n:

Do you see the distinction? For numerical computation purposes, the solution will always be approximate. However, I still claim exactness when the specified limits are taken to infinity.