a) lim (n3 + 2n2 – n + 1) = lim n3 (1 + ) = +∞
b) lim (-n2 + 5n – 2) = lim n2 ( -1 + ) = -∞
c) lim ( - n) = lim
= lim = lim
= lim
=
.
d) lim ( + n) = lim (
+ n) = lim n (
+ 1) = +∞.
Tính các giới hạn sau :
a) \(\lim\limits\left(n^2+2n-5\right)\)
b) \(\lim\limits\left(-n^3-3n^2-2\right)\)
c) \(\lim\limits\left[4^n+\left(-2\right)^n\right]\)
d) \(\lim\limits n\left(\sqrt{n^2-1}-\sqrt{n^2+2}\right)\)
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 (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) \(lim\left(\sqrt{4n+1}-2\sqrt{n}\right)\)
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) \(lim\left(3n^3+2n^2+n\right)\)
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) \(lim\sqrt{n^2+3n\sqrt{n}+1}-n\)
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\(\dfrac{\sqrt{n^2-4n}-\sqrt{4n^2+1}}{\sqrt{3n^2+1}-n}\)
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)\(lim\left[n^2\left(\sqrt{n^2+2}-\sqrt{n^2+4}\right)\right]\)
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) \(lim\dfrac{\sqrt{n^2+1}-n\sqrt{5}}{\sqrt{n^2+1}+n\sqrt{5}}\)
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) \(\lim\limits\dfrac{\sqrt{9n^2-n+1}}{4n-2}\)
