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Exercise

$\lim\:_{x\to\:\infty\:}\left(\frac{\left(x^2\right)}{\left(e^{3x}\right)}\right)$

Step-by-step Solution

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Because polynomial functions ($x^2$) grow asymptotically slower than exponential functions ($e^{3x}$), we can say that the expression $\lim_{x\to\infty }\left(\frac{x^2}{e^{3x}}\right)$ tends to zero as $x$ goes to infinity

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Main Topic: Limits by Direct Substitution

Find limits of functions at a specific point by directly plugging the value into the function.

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