\(=lim\frac{\left(2-\frac{1}{n}\right)\left(3n^{\frac{2}{3}}+\frac{2}{n^{\frac{4}{3}}}\right)^2}{-2+\frac{4}{n^2}-\frac{1}{n^5}}=\frac{\infty}{-2}=-\infty\)
Bài 1: Giới hạn của dãy số
Các câu hỏi tương tự
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 \(\left(\sqrt{n^2+3n-1}-\sqrt[3]{n^3-n}\right)\)
Tính giới hạn :
L = lim \(\dfrac{\left(n^2+2n\right)\left(2n^3+1\right)\left(4n+5\right)}{\left(n^4-3n-1\right)\left(3n^2-7\right)}\)
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
\(lim\left(\sqrt[3]{n-n^3}+\sqrt{n^2+3n}\right)\)
\(lim\left(\sqrt{n-2\sqrt{n}}-\sqrt{n+4}\right)\)
\(lim\left(\sqrt[3]{3n^2+n^3}-n\right)\)
\(lim\left(\sqrt[3]{n^3+6n}-\sqrt{n^2-4n}\right)\)
\(lim\frac{-3^{n+1}+4^{n+1}}{5.3^n+3.2^{2n-1}}\)
\(lim\left(\frac{3^{2n}-5^{n+1}+7^{n+1}}{3^{n+2}+5^n+2^{3n+2}}\right)\)
\(lim\left(\frac{6^{n+1}+3^{2n+5}}{3^{2n+3}-2^{2n-1}}\right)\)
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 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\(\dfrac{\sqrt{n^2-4n}-\sqrt{4n^2+1}}{\sqrt{3n^2+1}-n}\)
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 \(\left(n^4+2n-20\right)\)
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) \(lim\left(3n^3+2n^2+n\right)\)
6 tháng 2 2021 lúc 15:51
đặt \(a=lim\dfrac{3n^3-2n+1}{4n^4+2n+1}\). tìm \(lim\dfrac{an^3-\left(a+2\right)n^2+1}{4an^3-n^2+3n+3}\)
6 tháng 2 2021 lúc 23:22
Tìm các giới hạn sau:
a) \(lim\left(4^n-3^n\right)\)
b) \(lim\left[\left(2^n+1\right)^2-4^n\right]\)
c) \(lim\left(\sqrt{2n^5-3n^2+11}-n^3\right)\)
d) \(lim\left(\sqrt{2n^2+1}-\sqrt{3n^2-1}\right)\)
e) \(lim\sqrt{n^2+3n\sqrt{n}+1}-n\)