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When multiplying two powers that have the same base ($x$), you can add the exponents
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$\lim_{x\to0}\left(\frac{x^2-\sin\left(x\right)\sin\left(x\right)}{x^4}\right)$
Learn how to solve problems step by step online. Find the limit (x)->(0)lim((xx-sin(x)sin(x))/(x^4)). When multiplying two powers that have the same base (x), you can add the exponents. When multiplying two powers that have the same base (\sin\left(x\right)), you can add the exponents. Evaluate the limit \lim_{x\to0}\left(\frac{x^2-\sin\left(x\right)^2}{x^4}\right) by replacing all occurrences of x by 0. Calculate the power 0^4.