SOLUTION: find the limit as n-infinity (a) sin(n)-n divided by n cube

Algebra.Com
Question 290239: find the limit as n-infinity
(a) sin(n)-n divided by n cube

Answer by Fombitz(32388)   (Show Source): You can put this solution on YOUR website!


.
.
.
The sine function varies from [-1,1]


So then

RELATED QUESTIONS

Please find the limit of the following sequence as n goes to infinity: {{{n/(n^2+1)... (answered by math_helper,robertb)
Find the limit (1+1/n) as n tends to... (answered by tommyt3rd)
Prove limit -n^2/(n+3)=-infinity as n approaches... (answered by htmentor)
Find the value of the series in the form a(pi)/b: sum (sin n^o/n), n = 1 to infinity.... (answered by ikleyn)
Help me find the limit of (1 + √2 + √3 +... + √(n-1) + √n)/n^(3/2) as n goes to... (answered by greenestamps,ikleyn)
Evaluate the limit of ({{{sin(pi/(3n)) + sin(2pi/(3n)) + sin(3pi/(3n))}}}+...+{{{... (answered by richard1234)
A sequence Tn is defined by T1 = T2 = 1 and T(n+2) = T(n+1) + Tn Tn = {{{(a^n - b^n)/... (answered by ikleyn)
Determine if the limit exists as n goes to infinity: {{{ 1/(n+1)+1/(n+2)}}} +...+... (answered by math_helper)