1-34 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary meth

Name: 1-34 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why. 1. limx → 1(x^2 - 1)/(x^2 - x) 2. limx → 1(x^a - 1)/(x^b - 1)
Uploaded: 2022-07-07T23:21:38-08:00
Duration: 3 min 12 s
Channel: Israel Hernandez
Description: 1-34 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why. 1. limx → 1(x^2 - 1)/(x^2 - x) 2. limx → 1(x^a - 1)/(x^b - 1)

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Israel Hernandez · Accepted Answer

Step 1: 
First, let's try to directly substitute x=1 into the expression to see if it is defined

Question

1-34 Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. If l'Hospital's Rule doesn't apply, explain why.\\ 1. $\lim_{x \to 1} \frac{x^2 - 1}{x^2 - x}$ \\ 2. $\lim_{x \to 1} \frac{x^a - 1}{x^b - 1}$

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