- #1

FaraDazed

- 347

- 2

## Homework Statement

Q1 Are the following sequences divergent or convergent as n tends to infinity.

A: [itex]\frac{5n+2}{n-1}[/itex]

B: [itex]tan^{-1}(n)[/itex]

## Homework Equations

## The Attempt at a Solution

Really not sure how to show this mathematically, or even if what I have done is correct.

Part A:

[tex]

\frac{5n+2}{n-1}=12,\frac{17}{2},\frac{22}{3},\frac{27}{4}...\\[/tex]

So it looks as tho it converges to 0 as n tends to infinity.

Part B:

[tex]

tan^{-1}(n) = \frac{\pi}{4},1.107,1.25...

[/tex]

From messing on the calculator I can see that it tends to pi/2 as n tends to infinity but dont know how to show it mathmatically.

I would really appreciate any feedback or advice :)