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. \(\quad I<\ln(99)\)

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