Sketch the graph of an example of a function f that satisfies all the of the given conditions.
lim (x->0^+) f(x) = infinity
lim (x->0^-) f(x) = negative infinity
lim (x->infinity) f(x) = 1
lim (x->negative infinity) f(x) = 1
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2007-10-03 09:46:15 · 3 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
An obvious example would be to let f(x) = 1 + 1/x. A graph of it is here: http://img263.imageshack.us/img263/1691/oneplusoneoverxoq7.png
2007-10-03 10:24:24 · answer #1 · answered by Pascal 7 · 0⤊ 0⤋
the graph has asymptotes on y=0 and x=1
looks like a graph of y = (1/x) + 1
2007-10-03 10:08:12 · answer #2 · answered by Anonymous · 0⤊ 0⤋
i could say the respond is 0: as you plug in numbers, no count sort what the i is, the n is so great that the denominator is quite infinity each and every time. so a million/infinity = 0 and summing infinity 0's nonetheless grants 0. I hate Riemann.
2016-12-17 16:17:45 · answer #3 · answered by ? 4 · 0⤊ 0⤋