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- Solve using L'Hôpital's rule
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- 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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Calculate the power $10^3$
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$\lim_{x\to\infty }\left(\frac{4x^5+1000+9x^2+2x+1}{2x^5-3x^4-9x+5}\right)$
Learn how to solve limits by direct substitution problems step by step online. Find the limit of (4x^5+10^39x^22x+1)/(2x^5-3x^4-9x+5) as x approaches infinity. Calculate the power 10^3. Add the values 1000 and 1. As it's an indeterminate limit of type \frac{\infty}{\infty}, divide both numerator and denominator by the term of the denominator that tends more quickly to infinity (the term that, evaluated at a large value, approaches infinity faster). In this case, that term is . Separate the terms of both fractions.