Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Solve using direct substitution
- Solve using L'Hôpital's rule
- Solve without using l'Hôpital
- Solve using limit properties
- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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Evaluate the limit $\lim_{x\to0}\left(\cos\left(x\right)^{\frac{1}{x^2}}\right)$ by replacing all occurrences of $x$ by $0$
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$\cos\left(0\right)^{\frac{1}{0^2}}$
Learn how to solve problems step by step online. Find the limit of cos(x)^(1/(x^2)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\cos\left(x\right)^{\frac{1}{x^2}}\right) by replacing all occurrences of x by 0. Calculate the power 0^2. The cosine of 0 equals 1. An expression divided by zero tends to infinity.