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Show that lim(xrarr0)(1)/(|x|)=oo....

Show that `lim_(xrarr0)(1)/(|x|)=oo.`

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`Let f(x)=(1)/(|x|).` Then,
`lim_(xto0^(+))f(x)=lim_(hto0)f(0+h)=lim_(hto0)f(h)=lim_(hto0)(1)/(|h|)=lim_(hto0)1/h=oo" "[becausehgt0]`
`lim_(xto0^(-))f(x)lim_(hto0)f(0-h)=lim_(hto0)f(-h)=lim_(hto0)(1)/(|-h|)=lim_(hto0)1/h=oo.`
`thereforelim_(xto0)(1)/(|x|)=oo.`
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