Limiting sum ex 2 (1 Viewer)

[Drsoccerball]

How do you prove

 

[InteGrand]

How do you prove

That equation is not true, although it is very close.

 

[Drsoccerball]

The question is to prove that its less than the series but i thought as it approaches infty it equals it ?

 

[Drsoccerball]

Greater than*

 

[InteGrand]

The question is to prove that its less than the series but i thought as it approaches infty it equals it ?

It doesn't, and they would probably give you clues in sub-parts of the question on how to prove it.

 

[Drsoccerball]

It doesn't, and they would probably give you clues in sub-parts of the question on how to prove it.

There was nothing the question gave a taylor series of ln(1+x) and you had to find ln(1-x) and by that you found an approximation of ln2 by subtracting the two taylor series' and you had to sub x=1/3 and you got the answer then the next question said prove that the error of approximation of ln2 is less than the value i gave and it only gave the firs 3-4 terms of the series in the approximation

 

[InteGrand]

then the next question said prove that the error of approximation of ln2 is less than the value i gave

Less than what? The infinite sum, or the L.H.S. of the "equation" you posted?

 

[Drsoccerball]

 

[simpleetal]