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  • What do convergence and divergence mean? And why do they matter?
    I understand that when a series diverges, y doesn't approach 0 when x approaches infinity, and converging series do But what does this say? I just want to understand some applications NOTE: I'm
  • Calculating Flow Rate: Pressure Source to Converging Nozzle
    The full system is a pressure source, converging nozzle which has outlet into original diameter at converging nozzle inlet followed by hose to outlet to atmosphere (this is like a fire hose system - slightly different for my actual application) The pressure of the pressure source is my independent variable, I am doing a sweep in excel
  • Reason for Different Focus Distances in Converging Lens Lab
    we used a converging lens and a screen with white paper in front of a window to form an image of a distant tree outside This was about 15cm When we used an optics bench and a candle to figure out the focus, it was 16 3cm What would be a reason for the difference in the number?
  • Two Converging Lense Questions - Physics Forums
    For a lens of focal length f, what value of the distance between the object and the lens[D0] would give an image with a magnification of one? Is it possible to obtain a non-inverted image with a converging spherical lens? Explain please? Any response would be greatly appreciated, and I
  • Identifying Converging and Diverging Lenses: Explaining with Principal Rays
    I got a problem where it gives us a diagram with a lens, a source and a image We have to draw the three principal rays But after drawing the rays, how can I tell if it is a diverging or converging len? And how can I explain it verbally? Thanks a lot!
  • What does it mean for an integral to be convergent?
    ": It's a limit, which is just a real number (given that the limit exists) So an improper integral is a limit which is a number Does it make sense to talk about a number being convergent divergent? It's fixed and does not change with respect to the independent variable Moreover, if the improper integral is defined as the value of the limit only if the limit exists, then in cases where limit
  • Graphically determining the focal length of a converging lens
    Homework Statement: Graphically determining the focal length of a converging lens by graphing the given object distances (do) and image distances (di) Relevant Equations: 1 f = 1 do + 1 di So I have plotted all the given data points on a graph, putting 1 di on the y- axis and 1 do on the x-axis I have to now find focal length from the graph?
  • For a set S, there is always a sequence converging to sup(S)
    For every , there is with Proof: If not, there is r>0 s t for all we would have or equivalently , contradicting the definition of Now, you can apply this lemma for and (2) Yes, any sequence converging to 0 works, because we have: By the squeeze theorem: Which clearly is equivalent with Sep 10, 2018 #12 LCKurtz Science Advisor
  • Converging Vs diverging sequences - Physics Forums
    A sequence is made up of two sequences a n = (n^2) (n+2) - (n^2) (n+3) The problem asks for the solver to work out if it's converging or diverging, and find a limit if possible My first thought was to write both over a common denominator and then divide through by the dominant term; this implied converging with a limit of 1 for the positive values of n But if the reciprocal rule is instead
  • Rational sequence converging to irrational - Physics Forums
    In the textbook I have (its a textbook for calculus from my undergrad studies, written by Greek authors) some times it uses the lemma that "for any irrational number there exists a sequence of rational numbers that converges to it", and it doesn't have a proof for it, just saying that it is a





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