Bài 1: Giới hạn của dãy số
Các câu hỏi tương tự
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
\(lim\left(\sqrt[3]{n-n^3}+\sqrt{n^2+3n}\right)\)
\(lim\left(\sqrt{n-2\sqrt{n}}-\sqrt{n+4}\right)\)
\(lim\left(\sqrt[3]{3n^2+n^3}-n\right)\)
\(lim\left(\sqrt[3]{n^3+6n}-\sqrt{n^2-4n}\right)\)
\(lim\frac{-3^{n+1}+4^{n+1}}{5.3^n+3.2^{2n-1}}\)
\(lim\left(\frac{3^{2n}-5^{n+1}+7^{n+1}}{3^{n+2}+5^n+2^{3n+2}}\right)\)
\(lim\left(\frac{6^{n+1}+3^{2n+5}}{3^{2n+3}-2^{2n-1}}\right)\)
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) \(lim\left(-2n^3-3n^2+5n-2020\right)\)
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\(\frac{1^2+2^2+3^2+.....+n^2}{n\left(n+1\right)\left(n+2\right)}\)
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) \(lim\sqrt{n^2+3n\sqrt{n}+1}-n\)
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 \(\left(n^4+2n-20\right)\)
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\(\frac{n^2+\sqrt[3]{1-n^6}}{\sqrt{n^4+1}-n^2}\)
\(lim\sqrt[3]{n^2+n^3}+n.\) B))lim\(\frac{n^2+2\sqrt{n}+3}{2n^2+n-\sqrt{n}}\)
C))\(\frac{2n\sqrt{n}+3}{n^2+n+1}\) Đ)) lim \(\frac{\left(3+\sqrt{n}\right)\left(2n\sqrt{n}\right)}{\left(n+1\right)\left(n+2\right)}\)
tính giới hạn sau
a, lim\(\frac{1}{\sqrt{n+2}-\sqrt{n+1}}\)
b, lim\(\frac{8^{2n+3}-3^{3n+2}}{4^{3n+4}+5^{2n+3}}\)
tính tổng CSN: \(1,-\frac{1}{2},\frac{1}{4},-\frac{1}{8},...,\left(-\frac{1}{2}\right)^{n-1},...\)
tính tổng S= \(1+0,9+\left(0,9\right)^2+\left(0,9\right)^3+...+\left(0,9\right)^{n-1}+...\)
Câu 1: lim frac{1^3+2^3+...+n^3}{nleft(n^3+1right)}
Câu 2: lim (4+frac{left(-1right)^n}{n+1} )
Câu 3: limsqrt{9-frac{cos2n}{n}}
Câu 4: lim ( n^2sinfrac{npi}{5}-2n^3)
Câu 5: Cho u_nfrac{left(-1right)^n}{n^2+1} và v_nfrac{1}{n^2+2}. Khi đó tính lim left(u_n+v_nright)
Đọc tiếp
Câu 1: lim \(\frac{1^3+2^3+...+n^3}{n\left(n^3+1\right)}\)
Câu 2: lim (\(4+\frac{\left(-1\right)^n}{n+1}\) )
Câu 3: lim\(\sqrt{9-\frac{cos2n}{n}}\)
Câu 4: lim ( \(n^2sin\frac{n\pi}{5}-2n^3\))
Câu 5: Cho \(u_n=\frac{\left(-1\right)^n}{n^2+1}\) và \(v_n=\frac{1}{n^2+2}\). Khi đó tính lim \(\left(u_n+v_n\right)\)