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The difference can probably be stated more explicitly in mathematical terms.

"x tends to 0" typically implies that x is an independent variable of an unstated function. You are evaluating the function as this variable tends to zero; or, limx→0 f(x).

"limit of x tends to 0" instead implies that "x" is the function, and the value of it as you approach some unstated value tends to 0; or, lima→b x(a) = 0 where "b" is the value the function is approaching, whether real or ±infinity.

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Q: What is the difference between x tends to 0 and limit of x tends to 0?
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