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There's a lot of imprecise terminology there.frost_zero said:1/∞ is not zero, it tends towards zero because the difference between numerator and denominator is huge

That is true.frost_zero said:, it certainly is undefined in common mathematics,

It's not a question of precision. It's a question of physicists using a shorthand ##1/\infty## instead of writing out precise statements with limits. For example, in physics "at infinity" means "far enough away that the gravitational potential differs from zero by a negligible amount".frost_zero said:however in certain cases such as in physics it is taken as zero because the difference is huge and we are not aiming for much precision in physics