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Mathematics 15 Online
OpenStudy (alexwee123):

help w/ limits?

OpenStudy (alexwee123):

y=log_2 (x^2) + (lxl)^1/3 +3^-x find the right EBM and the left EBM and show work

OpenStudy (anonymous):

can u plz tell me what is EBM?

OpenStudy (alexwee123):

end behavior model

OpenStudy (anonymous):

oh so that means x -> +infty and x->-infty

OpenStudy (alexwee123):

yea

OpenStudy (anonymous):

x -> infty so x^2 -> infty and |x| -> infty

OpenStudy (anonymous):

that is obvious

OpenStudy (anonymous):

\[\lim_{x \rightarrow \infty} \log_2 (x^2) + (|x|)^{1/3} +3^{-x}=\lim_{x \rightarrow \infty} \log_2 (x^2) + (|x|)^{1/3} +\frac{1}{3^x}\]\[\lim_{x \rightarrow \infty} \log_2 (x^2) + (|x|)^{1/3} +\frac{1}{3^x}=\log_2 (\infty) + (\infty)^{1/3} +\frac{1}{3^{\infty}}=\infty+\infty+0=\infty\]

OpenStudy (alexwee123):

thanks

OpenStudy (anonymous):

no problem ..

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