Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Comparison Test or Limit Comparison Test
In the preceding section we saw how to relate a series to an improper integral to find out the convergence of a series. When the integral test is a good test, it does force us to do improper integrals that aren't all time easy and in some cases may be not possible to find out the convergence of.
For example consider the subsequent series.
To make use of the Integral Test we would have to integrate
∫∞0 1/ (3x + x) dx
and I'm not even make sure if it's possible to do this integral. Nicely sufficient for us there is other test that we can use on this series that will be very much easier to use.
1st, let's note that the series terms are positive. Like, with the Integral Test that will be significant in this section. Next let us note that we should have x > 0 as we are integrating on the interval 0 ≤ x < ∞. Similarly, regardless of the value of x we will all time have 3x > 0. Thus, if we drop the x from the denominator the denominator will get smaller and therefore the whole fraction will obtain larger.
Find out a series solution for the following differential equation about x 0 = 0 y′′ + y = 0. Solution Note that in this case p(x)=1 and therefore every point is an or
Find out the average temperature: Example: Find out the average temperature if the subsequent values were recorded: 600°F, 596°F, 597°F, 603°F Solution: Step
Frequency Distribution or Variance Ratio Distribution This was developed by R. A Fisher in 1924 and is normally defined in terms of the ratio of the variances of two usually d
what is $6500 jamaican dollars in european money if jamaican $160.13 = 1 european money
Mike sells on the average 15 newspapers per week (Monday – Friday). Find the probability that 2.1 In a given week he will sell all the newspapers [7] 2.2 In a given day he will sel
Above we have seen that (2x 2 - x + 3) and (3x 3 + x 2 - 2x - 5) are the factors of 6x 5 - x 4 + 4x 3 - 5x 2 - x - 15. In this case we are able to find one facto
1. Solve the given differential equation, subject to the initial conditions: . x2y''-3xy'+4y = 0 . y(1) = 5, y'(1) = 3 2. Find two linearly independent power series soluti
Calculate the mean, variance & standard deviation of the number of heads in a simultaneous toss of three coins. SOLUTION: Let X denotes the number of heads in a simu
To understand the multiplication of binomials, we should know what is meant by Distributive Law of Multiplication. Suppose that we are to multiply (a + b) and m. We
Maximize P=3x+2y Subject to x+y =6 x =3 x =0,y =0
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd