Limits

Absolutely,(Arihant diffr. calculus)

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

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

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 .

yes abhishek asked u sir.