[tex] \forall c \ne 0 [/tex], does the volume generated by function [tex] x\left| y \right| = c [/tex] from x=1 to x=∞ converge to a constant? Or from x=0 to x=1? Or from x=0 to x=∞ ?(adsbygoogle = window.adsbygoogle || []).push({});

But in general (aside from that), [tex] \forall c \ne 0 [/tex], Do [tex] \exists f\left( x \right){\text{,}}\,g\left( y \right) [/tex] such that [tex] \mathop {\lim }\limits_{y \to \pm \infty } g\left( y \right) = \infty [/tex] and the volume generated by [tex] f\left( x \right)g\left( y \right) = c [/tex] fromx=atox=∞converges to a constant? (where 'a' and 'c' are constants)

If [tex] \exists f\left( x \right){\text{,}}\,g\left( y \right) [/tex] (and i'm sure they do exist), what is (or must be) the relationship between [tex] f\left( x \right) [/tex] and [tex] g\left( y \right) [/tex] ?

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# Convergence questions

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