Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→1 3xx − 1 − 3ln(x)

Question

Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it.lim x→1 3xx − 1 − 3ln(x)
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Solution 1

To solve this limit, we can use l'Hospital's Rule, which states that the limit of a quotient of two functions as x approaches a certain value is equal to the limit of the quotients of their derivatives.

First, let's differentiate the numerator and the denominator:

The derivative of 3xx is 3x^x(ln Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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