Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve using direct substitution
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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Apply the power rule of limits: $\displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}$
Learn how to solve limits of exponential functions problems step by step online.
${\left(\lim_{x\to1}\left(\frac{2x+4}{x^2-x+6}\right)\right)}^{\lim_{x\to1}\left(\frac{3x}{x-1}\right)}$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of ((2x+4)/(x^2-x+6))^((3x)/(x-1)) as x approaches 1. Apply the power rule of limits: \displaystyle{\lim_{x\to a}f(x)^{g(x)} = \lim_{x\to a}f(x)^{\displaystyle\lim_{x\to a}g(x)}}. Evaluate the limit \lim_{x\to1}\left(\frac{3x}{x-1}\right) by replacing all occurrences of x by 1. Subtract the values 1 and -1. Multiply 3 times 1.
