Upper and lower limits of a sequence

[irati]

How I can argue that the upper limit and the lower limit of this sequence are \frac{2}{3} (a_2n) and \frac{-2}{3}(a_{2n+1})? (with all the steps please)
a_n=\frac{1+2n(-1)^n}{1+3n}

PS: I don´t know how to activate Latex code

 

[LCKurtz]

How I can argue that the upper limit and the lower limit of this sequence are [MATH]\frac{2}{3} a_{2n} [/MATH]and [MATH]\frac{-2}{3}a_{2n+1}[/MATH])? (with all the steps please)
[MATH]a_n=\frac{1+2n(-1)^n}{1+3n}[/MATH]
PS: I don´t know how to activate Latex code

Here's what I think you want. You use the icon about ten from the left above that looks like a calculator.

 

[Steven G]

This is not a homework service forum. We expect the student to solve their own problem---with help from the forum helpers.
Read our guidelines, follow them and then please post back.