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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.

25 tháng 9 2021

Ex1

1 usually walks

2 does - usually get

3 rarely washes

4 Do - often visit 

5 isn't often

6 usually walks

7 is occasionally 

8 am hardly

9 are always

10 often washes

Ex2

1 are working

3 are making

3 is having

4 is reading

5 is studying

6 am studying

7 is having

8 aren't studying

9 is having

10 are making

Bài 1: 

a: \(A=\left\{2\right\}\)

b: \(B=\left\{0;4;5\right\}\)

12 tháng 1 2022

một hôm

12 tháng 1 2022

Một hôm nhâ

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