(adsbygoogle = window.adsbygoogle || []).push({}); Multiplication Question

If we know that [tex]\frac{a}{x}[/tex] = c, we than say a=x*c

We also know that [tex]\lim_{x\rightarrow \infty}[/tex] [tex]\frac{a}{x}[/tex] = 0

But what if we said: [tex]\frac{a}{x}[/tex] = c, then [tex]\frac{a*x}{x}[/tex] = x*c

So, if we take a limit: [tex]\lim_{x\rightarrow \infty}[/tex] [tex]\frac{a*x}{x}[/tex] = a

And also take a limit of: [tex]\lim_{x\rightarrow \infty}[/tex] x*c = [tex]\infty[/tex]

We get a problem.

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# Limit of 1/x, as x approaches inf, question.

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