## 490 Reputation

14 years, 280 days

## Indeed...

Yes, you are correct. I simply copied and pasted the command from the original question and added explicit. I wouldn't have constructed the command in that manner. :-)

## Indeed...

Yes, you are correct. I simply copied and pasted the command from the original question and added explicit. I wouldn't have constructed the command in that manner. :-)

## Confirmed...

Yes, I was able to get the value of 26Pi by manually converting it to cylindrical coordinates. I was wondering if there is a way to prod Maple to do the conversion on its own.

## Confirmed...

Yes, I was able to get the value of 26Pi by manually converting it to cylindrical coordinates. I was wondering if there is a way to prod Maple to do the conversion on its own.

## Thanks...

It does help, thanks!

## Thanks...

It does help, thanks!

## Perfect......

i use the 'explicit' option in various solvers, but never solve(). Thanks for the very detailed response.

## Perfect......

i use the 'explicit' option in various solvers, but never solve(). Thanks for the very detailed response.

## Best yet......

Thanks, this is along the lines of what I was looking for!

## Best yet......

Thanks, this is along the lines of what I was looking for!

## Indeed...

Yes. However, I guess I should've been clearer on my question. I wanted to know, in general, if Maple can find limiting values of sequences defined recursively. What if I didn't know in advance the existence of a limit? Could Maple provide any insight?

## Indeed...

Yes. However, I guess I should've been clearer on my question. I wanted to know, in general, if Maple can find limiting values of sequences defined recursively. What if I didn't know in advance the existence of a limit? Could Maple provide any insight?

## regionoptions...

It is possible to change the color of the shaded region using the regionoptions=[color=your_color] option.

I am aware of solutions similar to the ones you've mentioned, and I've found them to be very useful. I am wondering, though, why are those the only options? For such a fundamental problem, shouldn't Maple at least attempt to provide a solution to someone who might not be able to (or want to) write their own procedure? I am fine writing my own procedure to solve some specific problem. Not everyone is.