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Evaluate the limit $\lim_{x\to0}\left(\frac{\left(a^x-b^x\right)^2}{a^{\left(x^2\right)}-b^{\left(x^2\right)}}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\left(a^0-b^0\right)^2}{a^{\left(0^2\right)}-b^{\left(0^2\right)}}$
Learn how to solve problems step by step online. Find the limit (x)->(0)lim(((a^x-b^x)^2)/(a^x^2-b^x^2)). Evaluate the limit \lim_{x\to0}\left(\frac{\left(a^x-b^x\right)^2}{a^{\left(x^2\right)}-b^{\left(x^2\right)}}\right) by replacing all occurrences of x by 0. Calculate the power 0^2. Calculate the power 0^2. Any expression (except 0 and \infty) to the power of 0 is equal to 1.