Remembering the Taylor expansion...
, (1)
... and setting we obtain...
, (2)
From (2) results...
(3)
Kind regards
I really have no idea how to start this one!Find with proof an interval on which determines a differentiable function of x and show that the derivative is .
My first attempt involved finding when it converges.
So it converges when .
But
which is when .
However, I have no idea how to finish it.
Does anyone have any ideas?