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 $\lim_{x\to0}\left(\frac{\sin\left(x\right)^2-3x^2}{e^{\left(x^2\right)}-\cos\left(2x\right)}\right)$ by replacing all occurrences of $x$ by $0$
Learn how to solve limits by direct substitution problems step by step online.
$\frac{\sin\left(0\right)^2-3\cdot 0^2}{e^{\left(0^2\right)}-\cos\left(2\cdot 0\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (sin(x)^2-3x^2)/(e^x^2-cos(2x)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\sin\left(x\right)^2-3x^2}{e^{\left(x^2\right)}-\cos\left(2x\right)}\right) by replacing all occurrences of x by 0. Multiply 2 times 0. Calculate the power 0^2. Calculate the power 0^2.