`a)lim[5n^3-3n^2+1]/[1-3n^3]`
`=lim[5-3/n+1/[n^3]]/[1/[n^3]-3]`
`=5/[-3]=-5/3`
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`b)lim[-9n+5]/[3n-3]`
`=lim[-9+5/n]/[3-3/n]`
`=[-9]/3=-3`
Tính các giới hạn sau:
a) \(\lim\limits\dfrac{\sqrt[3]{n^6-7n^3-5n+8}}{n+12}\)
b) \(\lim\limits\dfrac{1}{\sqrt{3n+2}-\sqrt{2n+1}}\)
c) \(\lim\limits\dfrac{4.3^n+7^{n+1}}{2.5^n+7^n}\)
Tính các giới hạn sau:
a) \(\lim\limits\dfrac{2n^2+5}{-3n^2-3}\)
b) \(lim\left(-5n^3-2n^2+5n-6\right)\)
Tìm các giới hạn sau :
a) \(\lim\limits\dfrac{6n-1}{3n+2}\)
b) \(\lim\limits\dfrac{3n^2+n-5}{2n^2+1}\)
c) \(\lim\limits\dfrac{3^n+5.4^n}{4^n+2^n}\)
d) \(\lim\limits\dfrac{\sqrt{9n^2-n+1}}{4n-2}\)
Tìm các giới hạn sau:
a) \(lim\dfrac{5n}{n-\sqrt{n^2-n-1}}\)
b) \(lim\dfrac{\sqrt{n+\sqrt{n+1}}}{n-\sqrt{n}}\)
c) \(lim\dfrac{\sqrt{2n^4-n^2+7}}{3n+5}\)
d) \(lim\dfrac{\sqrt{3n^2+2n}-n}{3n-2}\)
Tìm các giới hạn sau:
a) \(lim\sqrt[3]{-n^3+2n^2-5}\)
b) \(lim\dfrac{1}{\sqrt{n+1}-\sqrt{n}}\)
c) \(lim\left(\dfrac{1}{n+1}-n\right)\)
d) \(lim\left(\dfrac{2n^2-1}{n+1}-2n\right)\)
e) \(lim\dfrac{2n^3+n^2-3n+1}{2-3n}\)
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 \(\left(\sqrt{n^2+3n-1}-\sqrt[3]{n^3-n}\right)\)
Tìm các giới hạn sau:
\(a,lim\dfrac{2n^2+1}{3n^3-3n+3}\)
\(b,lim\dfrac{-3n^3+1}{2n+5}\)
\(c,lim\dfrac{n^3-2n+1}{-3n-4}\)
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\(\dfrac{\sqrt{n^2-4n}-\sqrt{4n^2+1}}{\sqrt{3n^2+1}-n}\)
Tìm các giới hạn sau:
\(a,lim\dfrac{2n+1}{-3n+2}\)
\(b,lim\dfrac{5n^3-2n+1}{n-2n^3}\)
