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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 $\lim_{x\to\infty }\left(\frac{\left(3x-2\right)^2\left(2x+5\right)^4}{6x^6-7x^3+8}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\frac{\left(3\cdot \infty -2\right)^2\cdot \left(2\cdot \infty +5\right)^4}{6\cdot \infty ^6-7\cdot \infty ^3+8}$
Learn how to solve operations with infinity problems step by step online. Find the limit of ((3x-2)^2(2x+5)^4)/(6x^6-7x^3+8) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{\left(3x-2\right)^2\left(2x+5\right)^4}{6x^6-7x^3+8}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^3=\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0.
