# Calculus : Reimann Sum and Limits and Continuity

Not what you're looking for? Search our solutions OR ask your own Custom question.

34) The function f is continuous on the closed interval [1,5] and has values that are given in the table below. If 2 subintervals of equal length are used, what is the midpoint Reimann sum approximation of integral with 5 on top and 1 on bottom f(x)dx?

Please given step by step explaination and answer is 32.

x 1 2 3 4 5

F(x)15 10 9 6 5

33) Let f be the function defiend by:

F(x) = x^2-25/5-5 for x does not equal 5

F(x) = 0 for x=5

Which statement of f is true?

I. lim as x approaches 5 of f(x) exists.

II F(5) exists

III F(x) is continuous at x=5.

Please also tell why also false?

Â© BrainMass Inc. brainmass.com December 24, 2021, 4:57 pm ad1c9bdddfhttps://brainmass.com/math/calculus-and-analysis/calculus-reimann-sum-and-limits-and-continuity-18054

#### Solution Summary

A reimann sum is investigated and the existence of a function is discussed. The solution is well presented.

$2.49