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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 $\lim_{x\to0}\left(\frac{e^x\sin\left(x\right)-\left(e^x-1\right)\cos\left(x\right)}{\left(e^x-1\right)\sin\left(x\right)}\right)$ by replacing all occurrences of $x$ by $0$
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$\frac{e^0\sin\left(0\right)-\left(e^0-1\right)\cos\left(0\right)}{\left(e^0-1\right)\sin\left(0\right)}$
Learn how to solve problems step by step online. Find the limit of (e^xsin(x)-(e^x-1)cos(x))/((e^x-1)sin(x)) as x approaches 0. Evaluate the limit \lim_{x\to0}\left(\frac{e^x\sin\left(x\right)-\left(e^x-1\right)\cos\left(x\right)}{\left(e^x-1\right)\sin\left(x\right)}\right) by replacing all occurrences of x by 0. Calculate the power e^0. Subtract the values 1 and -1. Calculate the power e^0.
