( lim _{n rightarrow infty} frac{n^{2}left(sin n+cos ^{3} nright)}{left(n^{2}+1right)(n-3)} )

Question

Accepted Answer

Step:1 ：( lim _{n rightarrow infty} frac{n^{2}left(sin n+cos ^{3} nright)}{left(n^{2}+1right)(n-3)} = frac{infty}{infty} )Step:2 ：( lim _{n rightarrow infty} frac{n^{2} sin n}{(n^{2}+1)(n-3)} + lim _{n rightarrow infty} frac{n^{2} cos^{3} n}{(n^{2}+1)(n-3)})Step:3 ：(lim _{n rightarrow infty} frac{n^{2}left(sin n+cos ^{3} nright)}{left(n^{2}+1right)(n-3)} = 0 + 0)

Answer

Step: 1 ：( lim _{n rightarrow infty} frac{n^{2}left(sin n+cos ^{3} nright)}{left(n^{2}+1right)(n-3)} = frac{infty}{infty} )Step: 2 ：( lim _{n rightarrow infty} frac{n^{2} sin n}{(n^{2}+1)(n-3)} + lim _{n rightarrow infty} frac{n^{2} cos^{3} n}{(n^{2}+1)(n-3)})Step: 3 ：(lim _{n rightarrow infty} frac{n^{2}left(sin n+cos ^{3} nright)}{left(n^{2}+1right)(n-3)} = 0 + 0)

$lim_{n \to \infty} \frac{n^{2} (\sin n + \cos^{3} n)}{(n^{2} + 1) (n - 3)}$

Answer

Popular Problems

limn→∞n2(sin⁡n+cos3⁡n)(n2+1)(n−3)

Answer

Popular Problems

$lim_{n \to \infty} \frac{n^{2} (\sin n + \cos^{3} n)}{(n^{2} + 1) (n - 3)}$