a) lim (6n4 - n + 1)
= lim n4(6 - 1/n3 + 1/n4) = + \(\infty\)
+ lim n4 = + \(\infty\)
+ lim (6 - 1/n3 + 1/n4) = 6
b) lim (2 - 3n + 7n2)
= lim n2(2/n2 - 3/n + 7) = + \(\infty\)
+ lim n2 = + \(\infty\)
+ lim (2/n2 - 3/n + 7) = 7
Tìm các giới hạn sau:
\(a,\left(8n-3n^9+1\right)\)
\(b,lim\left(6n^4-n+1\right)\)
\(c,lim\left(2-3n+7n^2\right)\)
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) \(lim\sqrt{n^2+3n\sqrt{n}+1}-n\)
Tìm các giới hạn sau:
\(a,lim\left(3n-\sqrt{9n^2+1}\right)\)
\(b,lim\left(\sqrt[3]{n^3-2n^2}-n\right)\)
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
\(a,lim\left(\sqrt{n^2+n+1}-n\right)\)
\(b,lim\dfrac{\sqrt{n^3+2n}-2n^2}{3n+1}\)
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) \(lim\dfrac{\sqrt{n^2+1}-n\sqrt{5}}{\sqrt{n^2+1}+n\sqrt{5}}\)
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:
\(a,lim\left(-2n^3-5n+9\right)\)
\(b,lim\left(8n-3n^9+1\right)\)
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) \(lim\dfrac{2n^3+n^2-3n+1}{2-3n}\)
