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Evaluate the limit $\lim_{x\to0}\left(x^2\sin\left(\frac{1}{x}\right)\right)$ by replacing all occurrences of $x$ by $0$
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$0^2\sin\left(\frac{1}{0}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of x^2sin(1/x) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(x^2\sin\left(\frac{1}{x}\right)\right) by replacing all occurrences of x by 0. Calculate the power 0^2. An expression divided by zero tends to infinity. Apply the formula: \sin\left(\infty \right)\cdot 0=0.