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Sagot :
[tex]\lim _{x\to\infty}(e^{x^{}})^{\frac{3}{4}}[/tex]
first we apply the property of the limit that states
[tex]\lim _{n\to a}f(x)^b=(\lim _{n\to a}f(x))^b[/tex]this means that we can calculate the limit apart
[tex]\lim _{x\to\infty}e^x=\infty[/tex]then, using the properties for infinities
[tex]\begin{gathered} \infty^a=\infty \\ \text{then}, \\ \infty^{\frac{3}{4}}=\infty \\ \text{finally,} \\ \lim _{x\to\infty}(e^{x^{}})^{\frac{3}{4}}=\infty \end{gathered}[/tex]
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