Is this series is convergent or divergent?

[theStudent21]

I have to find if this series is convergent or divergent. I appreciate any tips or solutions because i don't have any ideas.

 

[Deleted member 4993]

View attachment 25683
I have to find if this series is convergent or divergent. I appreciate any tips or solutions because i don't have any ideas.

Does sequence "oscillate" like a "sine" function?

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

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Please share your work/thoughts about this problem.

 

[Dr.Peterson]

View attachment 25683
I have to find if this series is convergent or divergent. I appreciate any tips or solutions because i don't have any ideas.

Surely you have some ideas, if this comes from a course that is teaching you something. What ideas have you considered? Do the terms approach zero? Is there anything to compare to? What methods have been taught?

Having no ideas is not the same as having run out of ideas; if it's the latter case, show us the ones you used, if it's the former, read your book to get some ideas.

 

[LCKurtz]

Hint: [MATH]\lim_{x\to 0}\frac{\sin x} x = 1[/MATH]. Does that give you ideas about a general comparison test?