Root Definition and 918 Threads

Hi guys, I have another limit I can't move with. Well, I guess it goes to zero, but can't show a bulletproof evidence: \lim_{n \rightarrow \infty} \frac{ \sqrt[4]{n + 2} - \sqrt[4]{n + 1}}{ \sqrt[3]{n + 3} - \sqrt[3]{n}} Even after I got rid of denominator, I can't find some known...

Hello all I am having trouble proving the limit of the following: lim sqrt(( n+1) - sqrt(n)) * sqrt(n+ 1/2 ) = 1/2 n --> 00 I tried using the fact the the limit of the first factor as n approaches infinity is 0. Then I tried expressing the first factor as 1 /...

Is the square root of 0 undefined? I was recently told that the square root of 0 is undefined because the limit of a square root didn't exist at 0. The reason is that from the negative direction you have i and from the positive direction you don't. At first, i agreed with this. It made enough...

Which organelles do mesophyll cells have more than root cells of a plant? Do Onions have chloroplasts?

Hi Y'all, I was trying to integrate a function in two dimesions. after integrating it in one dimesion and substituting the limits I got two terms. I am unable to integrate the second term. That is because it had a sqare root in the denominator which contained another one within it. I took...

Hi, is \sqrt{a^2-a^2\sin^2{x}} = a\cos{x}? If not, what should it be? :confused: Appreciate the help! :smile:

I learned that trees and plants compete for survival just like other species. They compete for sunlight and nutrients in the soil. If you're a tree who wants to catch some rays, the goal is to grow as big and tall as possible, and make the enemy trees eat shade. But how do they compete for...

What is the theorem that states if \Omega is a polynom with degree > 1 with real coefficients. If there exists a complex number z = a + bi such that \Omega(a+bi)=0 then \overline{z} = a - bi is also a root of \Omega ? For \Omega(x) = x^2 + px + q with p and q real then if a+bi is a...

Simple question about writing a log--how does the root go turn to divison? I understand the product, quotient and power laws of logarithms. But this piece in the book has me stumped. It says how they used logarithms to rewrite calculations and make them easier to figure out. Fair enough...

The question is : Show that one of the root of the equation y^3 - 3y + 4 = 0 lies between -3 and -2. REMEMBER : If you want to use some statement, Law, identity or logic, please PROVE it first before you proceed to answer the question.. Difficulty for me is, normally we are asked to solve...

Is it possible to solve a radical equation where the root is a negative integer?

The square root of pi is 1.777245... I know. But my math teacher says its impossible to determine a square root of an irrational number. Can anyone shed any light on this? is it or is it not possible to determine the square root (or any root) of an irrational number?

I have to find the principal root of \sqrt[3]{8 i} But I get stuck at this part change this to polar coordinates... r= \sqrt {x^2 + y^2} which makes r=8 but when I try to find \theta \theta = \arctan \frac{y}{x} from the original x = 0 so how do I find \theta?

What is the concept of root mean squared all i got were i bunch of formulas saying this equals that

Yeh just having a problem seeing a way to prove that 6^(1/2) is irrational. Using this answer and proof by contradiction I need to prove that 2^(1/2) + 3^(1/2)is also irrational, however I sould be able to attempt this if I can get the above right. Any help much appreciated.

How do you find the root for high degree polynomial functions? I am really lost on this, any help would be appreciated.

Not sure if this is more a question for the physics forum or here, but ill start here. I've been doing some reading on signal to noise calculations for video applications. In the reading it says that when you drop a certain signal by 2, the noise portion of it will only drop by sqroot(2)...

Hi guys, I have been trying to get familiar with the Unix environment.. there is just one (actually two) things that I cannot figure out. It must be a trivial question for you guys. How do I delete a file from a root directory without actually going there? How do I delete all the files...