Power of JEE 2017 advanced
Calculus
Level
4
If \(\displaystyle I=\sum_{k=1}^{98}\int_{k}^{k+1}\frac{k+1}{x(x+1)}dx\) , then which of the following are correct?
\(\quad\) A. \(\quad I>\frac{49}{50}\)
\(\quad\) B. \(\quad I<\frac{49}{50}\)
\(\quad\) C. \(\quad I>\ln(99)\)
\(\quad\) D. \(\quad I<\ln(99)\)
by
Shivam Jadhav