E =\(\frac{3.3}{8.11}+\frac{3.3}{11.14}+.........+\frac{3.3}{197.200}\)
E =3.(\(\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}+.....+\frac{1}{200}\))
E =3.(\(\frac{1}{8}-\frac{1}{200}\))
E =3.(\(\frac{25}{200}-\frac{1}{200}\))
E =3.\(\frac{24}{200}\)
E =3.\(\frac{3}{25}\)
E =\(\frac{3}{1}.\frac{3}{25}\)
E =\(\frac{9}{25}\)
Tìm các STN a,b sao cho:
\(\frac{a}{2}+\frac{b}{3}=\frac{a+b}{2+3}\)
cho f(n) = \(\frac{1}{\sqrt[3]{2}}+\frac{1}{\sqrt[3]{3}}+\frac{1}{\sqrt[3]{4}}+...+\frac{1}{\sqrt[3]{n}}\) nϵN*. GIá trị lim\(\frac{f\left(n\right)}{n^2+1}\) bằng ?
lim \(\frac{\left(2n^2-3n+5\right)\left(2n+1\right)}{\left(4-3n\right)\left(2n^2+n+1\right)}\)
lim \(\frac{\sqrt{n^4+1}}{n}-\frac{\sqrt{4n^6+2}}{n^2}\)
lim \(\frac{2n+3}{\sqrt{9n^2+3}-\sqrt[3]{2n^2-8n^3}}\)
a)lim \(\frac{\left(2n+1\right)^2\left(n-1\right)}{\sqrt[3]{n^3+7n-2}}\)
b)lim [(2n-1)\(\sqrt{\frac{2n^2+5}{n^4+n^2+2}}\)]
c)lim [n(\(\sqrt[3]{n^3+n^2}-n\))]
\(\lim\limits\left(1-\frac{1}{2^2}\right)\left(1-\frac{1}{3^2}\right)...\left(1-\frac{1}{n^2}\right)\)
\\(\\lim\\limits_{x\\rightarrow8}\\frac{\\sqrt[3]{x}-2}{2x-16}\\)
\n\n\\(\\lim\\limits_{x\\rightarrow-2}\\frac{\\sqrt{x-3}-1}{\\sqrt[3]{x-6}+2}\\)
\n\n\\(\\lim\\limits_{x\\rightarrow1}\\frac{2x-1-\\sqrt{x^2+2x-2}}{x^2-4x+3}\\)
\nTìm \(limu_n\) biết \(u_n=\frac{1}{2^2-1}+\frac{1}{3^2-1}+...+\frac{1}{n^2-1}\)
\(lim\frac{1}{n^3}.sin\frac{n^2\pi}{3}\)
\(\lim\limits\left(1-\frac{1}{1+2}\right)\left(1-\frac{1}{1+2+3}\right)...\left(1-\frac{1}{1+2+...+n}\right)\)