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NV
9 tháng 3 2022

\(\lim\dfrac{3^n+2.6^n}{6^{n-1}+5.4^n}=\lim\dfrac{6^n\left[\left(\dfrac{3}{6}\right)^n+2\right]}{6^n\left[\dfrac{1}{6}+5\left(\dfrac{4}{6}\right)^n\right]}=\lim\dfrac{\left(\dfrac{3}{6}\right)^n+2}{\dfrac{1}{6}+5\left(\dfrac{4}{6}\right)^n}=\dfrac{0+2}{\dfrac{1}{6}+0}=12\)

\(\lim\left(\sqrt{n^2+9}-n\right)=\lim\dfrac{\left(\sqrt{n^2+9}-n\right)\left(\sqrt{n^2+9}+n\right)}{\sqrt{n^2+9}+n}=\lim\dfrac{9}{\sqrt{n^2+9}+n}\)

\(=\lim\dfrac{n\left(\dfrac{9}{n}\right)}{n\left(\sqrt{1+\dfrac{9}{n^2}}+1\right)}=\lim\dfrac{\dfrac{9}{n}}{\sqrt{1+\dfrac{9}{n^2}}+1}=\dfrac{0}{1+1}=0\)

\(\lim\dfrac{\sqrt{15+9n^2}-3}{5-n}=\lim\dfrac{n\sqrt{\dfrac{15}{n^2}+9}-3}{5-n}=\lim\dfrac{n\left(\sqrt{\dfrac{15}{n^2}+9}-\dfrac{3}{n}\right)}{n\left(\dfrac{5}{n}-1\right)}\)

\(=\lim\dfrac{\sqrt{\dfrac{15}{n^2}+9}-\dfrac{3}{n}}{\dfrac{5}{n}-1}=\dfrac{\sqrt{9}-0}{0-1}=-3\)

11 tháng 3 2022

em cảm ơn ạ

28 tháng 12 2021

was thought that the house was broken into last night. 

house was thought to have been broken into last night. 

hotel regulations should be read carefully by the hotel guests. 

languages are spoken in Canada? 

bike was left in the hall this morning.

21 tháng 12 2021

3.Have you finished your homework yet?

5.I have never donated blood before

tớ biết mỗi 2 câu này thôi

10 tháng 12 2021

\(F_A=P-F=18-10=8N\)

\(V=\dfrac{F_A}{d}=\dfrac{8}{10000}=8\cdot10^{-4}m^3\)

\(d=\dfrac{18}{8\cdot10^{-4}}=22500\)N/m3

10 tháng 12 2021

\(F_A=P-P'=18-10=8N\)

\(V=\dfrac{F_A}{d}=\dfrac{8}{10000}=8\cdot10^{-4}m^3\)

\(d=\dfrac{P}{V}=\dfrac{18}{8\cdot10^{-4}}=22500\left(\dfrac{N}{m^2}\right)\)