Bài 1: Giới hạn của dãy số
Các câu hỏi tương tự
12/ lim\(\frac{3^n+5^{n+2}}{2.4^n+5^n}\)
13/ lim\(\left(\sqrt{n^4+3n+1}-n^2-1\right)\)
14/ lim\(\left(\sqrt[3]{n^2-n^3}+n\right)\)
15/ lim\(\frac{n^2+\sqrt[3]{1-n^6}}{\sqrt{n^4+1}-n^2}\)
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
\(lim\left(\sqrt[3]{n-n^3}+\sqrt{n^2+3n}\right)\)
\(lim\left(\sqrt{n-2\sqrt{n}}-\sqrt{n+4}\right)\)
\(lim\left(\sqrt[3]{3n^2+n^3}-n\right)\)
\(lim\left(\sqrt[3]{n^3+6n}-\sqrt{n^2-4n}\right)\)
\(lim\frac{-3^{n+1}+4^{n+1}}{5.3^n+3.2^{2n-1}}\)
\(lim\left(\frac{3^{2n}-5^{n+1}+7^{n+1}}{3^{n+2}+5^n+2^{3n+2}}\right)\)
\(lim\left(\frac{6^{n+1}+3^{2n+5}}{3^{2n+3}-2^{2n-1}}\right)\)
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\(\frac{1^2+2^2+3^2+.....+n^2}{n\left(n+1\right)\left(n+2\right)}\)
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 \(\left(n^4+2n-20\right)\)
JE
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) \(lim\sqrt{n^2+3n\sqrt{n}+1}-n\)
a) \(lim\frac{\left(-2\right)^n+3^n}{\left(-2\right)^{n+1}+3^{n+1}}\)
b) \(lim\frac{\left(2n-1\right)\left(n+1\right)\left(3n+4\right)}{\left(5-6n\right)^3}\)
c) \(lim\left(\sqrt{n^2+5n+1}-\sqrt{n^2-2}\right)\)
d) \(lim\frac{5\cdot3^n-6^{n+1}}{4\cdot2^n+6^n}\)
e) \(lim\left(-2n^3-3n^2+5n-2020\right)\)
JE
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) \(lim\left(3n^3+2n^2+n\right)\)
Tính :6/ lim\(\dfrac{-n^2+2n+1}{\sqrt{3n^4+2}}\)
7/ lim \(\dfrac{\sqrt{n^3-2n+5}}{3+5n}\)
10/ lim\(\dfrac{1+3+5+...+\left(2n+1\right)}{3n^3+4}\)
JE
8 tháng 2 2021 lúc 10:29
Tìm các giới hạn sau:
a)\(lim\left[n^2\left(\sqrt{n^2+2}-\sqrt{n^2+4}\right)\right]\)
b)lim( \(\dfrac{3}{n-2}-5n\))
c) lim(\(\dfrac{n-1}{\sqrt{3}-n}-\dfrac{4}{2^{-n}}\))
d) \(lim\left(\dfrac{n^2-4}{n-2}-\dfrac{3n^2+4}{n}\right)\)
e) \(lim\dfrac{\sqrt{n^2+1}-n\sqrt{5}}{\sqrt{n^2+1}+n\sqrt{5}}\)