The following table shows various Riemann sum approximations to using right endpoints of n subintervals of equal length of the interval [0,1].

Which of the following statements best describes the limit of the Riemann sums as n approaches infinity?

Question

The following table shows various Riemann sum approximations to using right endpoints of n subintervals of equal length of the interval [0,1].

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Which of the following statements best describes the limit of the Riemann sums as n approaches infinity?

Answer

The limit of the Riemann sums does not exist because    does not exist.

Answer

The limit of the Riemann sums is a finite number greater than 10.

Answer

The limit of the Riemann sums is a finite number less than 10.

Answer

The limit of the Riemann sums does not exist because it is a sum of infinitely many positive numbers.

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