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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 $\lim_{x\to5}\left(\frac{35\sin\left(\pi x\right)^2\cos\left(\pi x\right)^2}{2\cdot \pi ^2\left(x-5\right)^2}\right)$ by replacing all occurrences of $x$ by $5$
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$\frac{35\cdot \sin\left(\pi \cdot 5\right)^2\cdot \cos\left(\pi \cdot 5\right)^2}{2\cdot \pi ^2\cdot \left(5-5\right)^2}$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (35sin(pix)^2cos(pix)^2)/(2pi^2(x-5)^2) as x approaches 5. Evaluate the limit \lim_{x\to5}\left(\frac{35\sin\left(\pi x\right)^2\cos\left(\pi x\right)^2}{2\cdot \pi ^2\left(x-5\right)^2}\right) by replacing all occurrences of x by 5. Subtract the values 5 and -5. Calculate the power \pi ^2. Multiply 2 times 0.