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- 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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Evaluate the limit $\lim_{x\to0}\left(\frac{\sin\left(x\right)\left(1-\sec\left(4x\right)\right)}{\sin\left(4x\right)\left(1-\sec\left(3x\right)\right)}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{\left(1-\sec\left(4\cdot 0\right)\right)\sin\left(0\right)}{\left(1-\sec\left(3\cdot 0\right)\right)\sin\left(4\cdot 0\right)}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (sin(x)(1-sec(4x)))/(sin(4x)(1-sec(3x))) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{\sin\left(x\right)\left(1-\sec\left(4x\right)\right)}{\sin\left(4x\right)\left(1-\sec\left(3x\right)\right)}\right) by replacing all occurrences of x by 0. Multiply 4 times 0. Multiply 3 times 0. Multiply 4 times 0.