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I am trying to plot some one-variable functions over a very large range, say for example:

Plot[3 t, {t, 0, 10^800}]

However I get an error saying:

Plot::plln: Limiting value 10000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000<<581>>00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 in {<<1>>} is not a machine-sized real number.

So, how can I get around this and obtain a proper plot while keeping the wide range?

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    $\begingroup$ Rescaling. The plot routines work internaly with machine precision. The largest number representable in machine precision is $MaxMachineNumber (about $10^{308}$). So you have to rescale. $\endgroup$ – Henrik Schumacher Nov 29 '18 at 19:17
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    $\begingroup$ Use LogPlot or LogLogPlot. $\endgroup$ – David G. Stork Nov 29 '18 at 19:53
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LogLogPlot[3 t, {t, 0, 10^800}]

enter image description here

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You can also use the option ScalingFunctions -> {"Log", "Log"}:

Plot[3 t, {t, 0, 10^800}, ScalingFunctions -> {"Log", "Log"}]

enter image description here

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