Intermediate value theorem gives you that exists a zero, but not the fact there is exactly one. But is increasing in .
Show that this function
has exactly real zero point and it is in the interval
decide if the series
converges absolutly or conditionally ??
For which x converge the power series
I tried to substitute the two end points of the interval for the x in the function by (intermediate value theorm)
to show that we have exactly one zero point , is it useful to use this way ?
After that i tried to take the
Is it useful to solve the problem ?? I got a very complex function , i do not know if it is right to use intermediate value theorm .
Does anyone have an idea ??