Recent content by train449

I would feel A LOT better. What sort of 'approach' is that substitution? Also would I need to find another path to see if the limit truly exists. I know when you substitute r = x^2 + y^2 you approach from all sides but I'm not quite sure how to visualize u =xy

It took me forever, but I remember know! e I had learned e as lim x→∞ (1+1/x)^x so it didn't quite jump out. i know the limit of F as (x,y) → (0,y) = y + e (x,y) → (x,0) = x + e How can I combine these results? Or is that making things unnecessarily complicated?

Homework Statement Evaluate the following limits or determine that the limit does not exist. b) lim (x,y)–>(0,0) (1+xy)^(1/xy) Homework Equations The Attempt at a Solution I have a funny feeling this limit might exist. (Then again I get that feeling about every indefinite...

Very cool. Thank you.

Indeed. Interesting flavor it is. I'm still a little curious about Ax+By+C=0. I was trying to find anything about the formula that would lend itself to the problem, i.e. why they gave me the line in general form. From what I remember from grade 10, it made calculating D(P,L) fairly easy. I was...

It works! Thank you.

genius. So if I can assume that the shortest distance is along a perpendicular line, is it as simple as showing that for y in W, setting <x,y> = 0 will find x the smallest vector from P to P0?

I couldn't find a Linear Algebra section in the Homework forum. I think you can do this without cal... (I hope, but it's been a long day so you never know) I am asked to prove that the shortest distance from a point P0(x0,y0) to a given line ax+by+c=0 is |ax0+by0+c|/sqrt(a2+b2)...

thank you, Mark44, I will make good use of it on my upcoming test!

Of course! figures I would forget the most basic reasoning. Thank you Vela!

@Mark44 I'm not too sure what the nth term test is

AH Vela you're right. L=1 so the test is inconclusive. I tried the integral test and got infinty so it does diverge, thank you.

Homework Statement Does the series: sum from 1 to inf. (n+2)/(n+1) converge? If so does it converge absolutely? Homework Equations Ratio test for series The Attempt at a Solution I found this series to converge using the root test, (.jpg attached) however wolfram alpha...

my last line isn't completely simplified i realized it should be -50p + 50

Homework Statement Find the line tangent to the curve f(x) = { (x+3)^2 | x < 0} , {-x^ + 8x -4 | x≥ 0} at two distinct points Homework Equations slope = Δy/Δx The Attempt at a Solution I only got as far as finding the slope of the line to be: a= -50p^2 + 50p. where p is a point...