Question

For a function increasing at an increasing rate,

Ln < I < Mn < Tn < Rn

And for a function decreasing at a decreasing rate, we have:

Rn < I < Tn < Mn < Ln?

Is this correct?

Answer 1

These are integral approximations

Answer 2

first one, i'd say yes....

Answer 3

Why not the second one, would you mind showing me a picture?

Answer 4

second one, i'd say yes also....:)

Answer 5

Ok what are all the combinations:
- increasing at an increasing rate
- increasing at a decreasing rate
- decreasing at a increasing rate
- decreasing at an decreasing rate

Answer 6

So for the remaining 2, how would it be?

Answer 7

For incresaing at a DECREASING rate, I got:
Ln < I < Tn < Mn < Rn

Answer 8

I drew:

Answer 9

Ok wait tell me if these are correct:
- increasing at an increasing rate:


- decreasing at an increasing rate:

Answer 10

- How would I show: DECREASING at a DECREASING rate?