cant even be converted to definite integral...dat 1 is causing a problem...hmm....
9 Answers
Answer should be infinity , since integral test for absolute convergence of this series yields negative result .
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
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 .
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) ??