Re: [math-fun] Puzzle: Find limiting angle as dimension -> oo
29 Nov
2002
29 Nov
'02
12:32 a.m.
<< A partridge in a pear tree? I have to cry fowl. The puzzle was posted before Xgiving, so would not have a Xmas reference. Incidentally, when I wrote << Let v_n be the vector in R^(n-1) defined as (1/n, 2/n,...,(n-1)/n). Let w_n be the vector in R^(n-1) with the same coordinates in reverse order. Find the limit as n -> oo of the angle between v_n and w_n. (Try this without using numerical approximation or summation-of-powers formulae.)
I didn't mean to suggest the puzzle is solvable by guesswork. --Dan
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