Math

CalculusQ&A LibraryThe Cauchy condensation test The Cauchy condensation testsays: Let {a,} be a nonincreasing sequence (a, 2 an÷1 for all n)of positive terms that converges to 0. Then Ea, converges if andonly if E2"az- converges. For example, E(1/n) diverges becauseE2" - (1/2") = E1 diverges. Show why the test works.%3DQuestion

Asked Feb 21, 2020

1 views

Step 1

Step 2

...

Find answers to questions asked by student like you

Show more Q&A

Q: Evaluate the integrals in Exercises 1–8 using integration by parts. In x dx In (x + 1) dx 1. 2. |dx ...

A: Click to see the answer

Q: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81 s...

A: Find the length and width of a rectangle that has the given area and a minimum perimeter. Area: 81 s...

Q: a) Plot the data using distance for the x-values and velocities for the y-values. What type of rela...

A: Click to see the answer

Q: find the extreme values on the interval f (x) = x2/3 − 2x1/3, [−1, 3]

A: Click to see the answer

Q: Consider the region formed by the graphs of f (x)=sqrt (x) , f (x)= 1/x and x=2. Which integral calc...

A: Click to see the answer

Q: 133. a. Show that b. Use part (a) to evaluate f(x)dx = Jo f(a – x)dx. •7/2 sin x -dx. sin x + cos x

A: Click to see the answer

Q: Suppose that f is a negative function with antiderivative F such that F(1) = 7 and F(3) = 4. What is...

A: Click to see the answer

Q: find the critical points and determine whether they are minima, maxima, or neither g(θ) = sin2 θ + θ

A: For critical points, Equate the derivative of the function to 0. Here, g(θ)=sin2 θ+ θ

Q: An island is 3 miles from the nearest point on a straight shoreline, that point is 14 miles from a p...

A: Click to see the answer