Explore the epsilon-delta definition of limit. Find delta given epsilon, and discover how to evaluate limits using the epsilon-delta proof method...
Epsilon-Delta Limit Proofs Prateek Puri September 23, 2010 1 Overview This article was designed to explain what exactly an epsilon-delta proof is and to demonstrate an example of such a proof. Although these proofs are of lit- tle practical use, they still offer key insight into what a ...
Delta-epsilon proofs are used when we wish to prove a limit statement, such as lim x→2 (3x −1) = 5. (1) Intuitively we would say that this limit statement is true because as x approaches 2, the value of (3x − 1) approaches 5. This is not, however, a proof that this ...
Answer to: Give an epsilon-delta proof of the limit fact. Limit as x approaches 0 of (4x + 6) = 6. By signing up, you'll get thousands of...
Learn the definition of Epsilon delta proof and browse a collection of 29 enlightening community discussions around the topic.
Discover the Epsilon Delta Definition of a Limit, fundamental in understanding calculus concepts like continuity and differentiation.
Calculate the limit {x to 0} 2 - 5x, using the delta - epsilon definition of a limit (i.e., provide an epsilon - delta proof for the limit). Calculate the limit {x to 2} x^3, using the delta - epsilon definition of a limit (i.e...
A question about the epsilon delta definition of a limit Hi, I have a question about the epsilon / delta definition of limits, for example the limit of x as it approaches c for f(c) = L. As I understand it, epsilon is basically the number of units on either side of L on the ...
The first author recently proved\nthat any graph satisfying $\\omega > \\frac 23(\\Delta+1)$ contains a stable set\nintersecting every maximum clique. In this note we exploit the latter result to\ngive a much shorter, simpler proof of the former. We include, as a certificate\nof ...
Using the \epsilon - \delta definition of limit, prove that if \lim_x} \rightarrow {a f(x)=b, then \lim_x} \rightarrow {a \frac{1}{f(x)}= \frac{1}{b} where b \neq 0. Show, using an epsilon/delta proof, that \lim_{x \rightarrow 2} x^2 + ...