Limits

Find: limn→∞Σ 1 to n: r/(4r2+1)

9 Answers

1
Sonne ·

are u sure u posted the problem correctly ?

1
ajoy abcd ·

Absolutely,(Arihant diffr. calculus)

1
RAY ·

cant even be converted to definite integral...dat 1 is causing a problem...hmm....

1
ajoy abcd ·

anyone here?

1
Ricky ·

Answer should be infinity , since integral test for absolute convergence of this series yields negative result .

1
ajoy abcd ·

well,answer given is 1/4.
Can you plese simplify what you want to say...
don't mind but not everybody is a genius like you

1
Ricky ·

Usually , when you get a series which seemingly cannot be evaluated directly by any means , the first step is to ensure whether the series actually has a definite value or not . In the latter case , if the value tends to infinity , we call the series a " Diverging Series " . Otherwise , it ' s called a " Converging Series " , i . e , a " converging series " converges to a definite value , but a " diverging series " diverges to infinity . To test whether a given series is converging or diverging , we have certain methods like " Root Test " , " Ratio Test " , " Raabe ' s Test " , " Integral Test " , " Gauss - s Test " etc . Here in this case , the integral test shows that the series diverges .

62
Lokesh Verma ·

r/(4r2+1)

someone asked me this question recently..

The question is wrong for sure... no doubt...

I think the writer probably meant.. r/(4r^2+4r+1) ??

1
souvik seal ·

yes abhishek asked u sir.

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