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Evaluate the limit $\lim_{x\to1}\left(\frac{x^a-1}{x^b-1}\right)$ by replacing all occurrences of $x$ by $1$
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$\frac{1^a-1}{1^b-1}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim((x^a-1)/(x^b-1)). Evaluate the limit \lim_{x\to1}\left(\frac{x^a-1}{x^b-1}\right) by replacing all occurrences of x by 1. 1 raised to any expression (except infinity) is equal to 1. Subtract the values 1 and -1. An expression divided by zero tends to infinity.