Final Answer
Step-by-step Solution
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Apply the property of the product of two powers of the same base in reverse: $a^{m+n}=a^m\cdot a^n$
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$\lim_{x\to1}\left(\frac{e^{-1}e^x-x^2}{x-1}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit (x)->(1)lim((e^(x-1)-x^2)/(x-1)). Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Evaluate the limit \lim_{x\to1}\left(\frac{e^{-1}e^x-x^2}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Calculate the power e^1.