\(=lim\frac{\sqrt{4n+\frac{9}{n^2}}-\frac{6}{n}}{\frac{7}{n}-3}=\frac{\infty}{-3}=-\infty\)
Bài 1: Giới hạn của dãy số
Các câu hỏi tương tự
5/ lim \(\frac{\left(12-n\right)^3\left(n-2\right)}{\sqrt{n^8-1}-2n^4}\)
6/ lim \(\frac{\sqrt[3]{3-8n^3}-n}{2n+5}\)
7/ lim \(\frac{\sqrt{n^6-2n+1}}{\sqrt{4n^6+3n}}\)
8/ lim \(\left(n^4+2n-20\right)\)
limleft(sqrt[3]{n-n^3}+sqrt{n^2+3n}right)
limleft(sqrt{n-2sqrt{n}}-sqrt{n+4}right)
limleft(sqrt[3]{3n^2+n^3}-nright)
limleft(sqrt[3]{n^3+6n}-sqrt{n^2-4n}right)
limfrac{-3^{n+1}+4^{n+1}}{5.3^n+3.2^{2n-1}}
limleft(frac{3^{2n}-5^{n+1}+7^{n+1}}{3^{n+2}+5^n+2^{3n+2}}right)
limleft(frac{6^{n+1}+3^{2n+5}}{3^{2n+3}-2^{2n-1}}right)
Đọc tiếp
\(lim\left(\sqrt[3]{n-n^3}+\sqrt{n^2+3n}\right)\)
\(lim\left(\sqrt{n-2\sqrt{n}}-\sqrt{n+4}\right)\)
\(lim\left(\sqrt[3]{3n^2+n^3}-n\right)\)
\(lim\left(\sqrt[3]{n^3+6n}-\sqrt{n^2-4n}\right)\)
\(lim\frac{-3^{n+1}+4^{n+1}}{5.3^n+3.2^{2n-1}}\)
\(lim\left(\frac{3^{2n}-5^{n+1}+7^{n+1}}{3^{n+2}+5^n+2^{3n+2}}\right)\)
\(lim\left(\frac{6^{n+1}+3^{2n+5}}{3^{2n+3}-2^{2n-1}}\right)\)
6 tháng 2 2021 lúc 20:32
Tìm các giới hạn sau:
a) \(lim\left(\sqrt{4n+1}-2\sqrt{n}\right)\)
b) \(lim\left(\sqrt{n^2+2n}-\sqrt{n^2-2n}-n\right)\)
c) \(lim\left(\sqrt{9^n-3^n}-4^n\right)\)
d) \(lim\left(3n^3+2n^2+n\right)\)
tìm các giới hạn
a)lim(sqrt{n+1}-sqrt{n})
b)limleft(sqrt{n+5n+1}-sqrt{n^2-n}right)
c)limleft(sqrt{3n^2+2n-1}-sqrt{3n^2-4n+8}right)
d)limfrac{2^n+6^n-4^{n+1}}{3^n+6^{n+1}}
e)limfrac{3^n-4^n+5^n}{3^n+4^n-5^n}
f)limfrac{1+3+5+.....+left(2n+1right)}{3n^2+4}
g)lim[frac{1}{1.2}+frac{1}{2.3}+....+frac{1}{nleft(n+1right)}]
h)limfrac{1^2+2^2+3^2+.....+n^2}{nleft(n+1right)left(n+2right)}
Đọc tiếp
tìm các giới hạn
a)lim(\(\sqrt{n+1}-\sqrt{n}\))
b)lim\(\left(\sqrt{n+5n+1}-\sqrt{n^2-n}\right)\)
c)lim\(\left(\sqrt{3n^2+2n-1}-\sqrt{3n^2-4n+8}\right)\)
d)lim\(\frac{2^n+6^n-4^{n+1}}{3^n+6^{n+1}}\)
e)lim\(\frac{3^n-4^n+5^n}{3^n+4^n-5^n}\)
f)lim\(\frac{1+3+5+.....+\left(2n+1\right)}{3n^2+4}\)
g)lim[\(\frac{1}{1.2}+\frac{1}{2.3}+....+\frac{1}{n\left(n+1\right)}\)]
h)lim\(\frac{1^2+2^2+3^2+.....+n^2}{n\left(n+1\right)\left(n+2\right)}\)
9/ lim\(\left(7-3.3^n-2.7^n\right)\)
10/lim\(\frac{\sqrt{3n^2+1}-\sqrt{n^2-2}}{n+4}\)
11/ lim\(\frac{n^2+\sqrt[3]{1-n^6}}{\sqrt{n^4+1}-n^2}\)
12/ lim\(\frac{2.4^n+3.6^n}{7.6^n+7^n}\)
Tính các giới hạn sau
1,Lim\(\left(\dfrac{2n^3}{2n^2+3}+\dfrac{1-5n^2}{5n+1}\right)\)
2,a,Lim\(\left(\sqrt{n^2+n}-\sqrt{n^2+2}\right)\)
b,Lim\(\dfrac{\sqrt{n^4+3n-2}}{2n^2-n+3}\)
c,Lim\(\dfrac{\sqrt{n^2-4n}-\sqrt{4n^2+1}}{\sqrt{3n^2+1}-n}\)
tính các giới hạn sau:a) lim (3n2+n2-1)b)lim dfrac{n^3+3n+1}{2n-n^3}c) lim dfrac{-2n^3+3n+1}{n-n^2}d) lim left(n+sqrt{n^2-2n}right)e) lim left(2n-3.2^n+1right)f) lim left(sqrt{4n^2-n}-2nright)g) lim left(sqrt{n^2+3n-1}-sqrt[3]{n^3-n}right)
Đọc tiếp
tính các giới hạn sau:
a) lim (3n2+n2-1)
b)lim \(\dfrac{n^3+3n+1}{2n-n^3}\)
c) lim \(\dfrac{-2n^3+3n+1}{n-n^2}\)
d) lim \(\left(n+\sqrt{n^2-2n}\right)\)
e) lim \(\left(2n-3.2^n+1\right)\)
f) lim \(\left(\sqrt{4n^2-n}-2n\right)\)
g) lim \(\left(\sqrt{n^2+3n-1}-\sqrt[3]{n^3-n}\right)\)
lim\(\left(5n-\sqrt{25n^2-3n+5}\right)\)
lim\(\dfrac{4n^5-3n^4-2n^3+7n-9}{-5n\left(3n^2-2n+1\right)\left(5-2n^2\right)}\)
Tính :6/ lim\(\dfrac{-n^2+2n+1}{\sqrt{3n^4+2}}\)
7/ lim \(\dfrac{\sqrt{n^3-2n+5}}{3+5n}\)
10/ lim\(\dfrac{1+3+5+...+\left(2n+1\right)}{3n^3+4}\)