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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 $\lim_{x\to\infty }\left(\frac{5x^2-20}{\left(x+2\right)\left(x+1\right)}+e^{\frac{x}{x^2+1}}\right)$ by replacing all occurrences of $x$ by $\infty $
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$\frac{5\cdot \infty ^2-20}{\left(\infty +2\right)\cdot \left(\infty +1\right)}+e^{\frac{\infty }{\infty ^2+1}}$
Learn how to solve operations with infinity problems step by step online. Find the limit of (5x^2-20)/((x+2)(x+1))+e^(x/(x^2+1)) as x approaches infinity. Evaluate the limit \lim_{x\to\infty }\left(\frac{5x^2-20}{\left(x+2\right)\left(x+1\right)}+e^{\frac{x}{x^2+1}}\right) by replacing all occurrences of x by \infty . Infinity to the power of any positive number is equal to infinity, so \infty ^2=\infty. Any expression multiplied by infinity tends to infinity, in other words: \infty\cdot(\pm n)=\pm\infty, if n\neq0. Infinity plus any algebraic expression is equal to infinity.
