Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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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Because polynomial functions ($x^2$) grow asymptotically slower than exponential functions ($e^x$), we can say that the expression $\lim_{x\to\infty }\left(\frac{x^2}{e^x}\right)$ tends to zero as $x$ goes to infinity