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There are two problems I got stuck...

1. Is the area in the first quadrant bounded between the x-axis and the curve

[tex]\ y= \frac{x} {2*(x^2+2)^{7/8}} [/tex]

finite? This one, I used the Area formula... but then I cannot integrate it... and then how to determine if it's finite or not?

2. Does the sequence

[tex]\ an= \frac{cos(n)+1}{n^3}[/tex]

converge?

How do you do this one? I need some hints to find the limit...

Thank a lot guys ^_^

1. Is the area in the first quadrant bounded between the x-axis and the curve

[tex]\ y= \frac{x} {2*(x^2+2)^{7/8}} [/tex]

finite? This one, I used the Area formula... but then I cannot integrate it... and then how to determine if it's finite or not?

2. Does the sequence

[tex]\ an= \frac{cos(n)+1}{n^3}[/tex]

converge?

How do you do this one? I need some hints to find the limit...

Thank a lot guys ^_^

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