If $$1=\sum^{98}_{k=1}\int_{k}^{k+1} \frac{k+1}{x(x+1)}dx$$, then

A

$$1>\log_{e}{99}$$

B

$$1<\log_{e}{99}$$

C

$$1<\frac{49}{50}$$

D

$$1>\frac{49}{50}$$