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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Rewrite the limit using the identity: $a^x=e^{x\ln\left(a\right)}$
Learn how to solve limits of exponential functions problems step by step online.
$\lim_{x\to0}\left(e^{x\ln\left(\tan\left(9x\right)\right)}\right)$
Learn how to solve limits of exponential functions problems step by step online. Find the limit of tan(9x)^x as x approaches 0. Rewrite the limit using the identity: a^x=e^{x\ln\left(a\right)}. Evaluate the limit \lim_{x\to0}\left(e^{x\ln\left(\tan\left(9x\right)\right)}\right) by replacing all occurrences of x by 0. Multiply 9 times 0. Calculating the tangent of 0 degrees.