Calcgebra: do you belive algebra or calculus?

Calculus Level 3

0 × lim ⁡ x → 0 1 x = ? \large 0 \times \lim_{x \to 0} \frac{1}{x}=?

∞ \infty Undefined − ∞ -\infty 0

Robert Szafarczyk by Robert Szafarczyk , 20, Poland

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1 solution

The limit above is undetermined (from one side it's ∞ \infty and from the other − ∞ -\infty ) and 0 × ∞ , 0 × − ∞ 0 \times \infty, 0\times -\infty are both undetermined therefore the answer.

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