Solution
= Solution
This is not an asymptotic sequence. The functions $\sin(x^n)$ oscillate and have arbitrarily large zeros; the ratio
$\sin(x^{n+1})/\sin(x^n)$ has no limit, let alone limit zero.
= Solution
This is not an asymptotic sequence. The functions $\sin(x^n)$ oscillate and have arbitrarily large zeros; the ratio
$\sin(x^{n+1})/\sin(x^n)$ has no limit, let alone limit zero.