i am make the follow limit with definition limit $\epsilon - \delta$
$ \lim\limits_{x\rightarrow\infty}{(x + 10\sin x )}$
but i don't know find a $A\in \mathbb R$ that $\forall_{x>A}$ $f(x)>M$ for all $M>0$
how is the treatment with this functions ?
i am make the follow limit with definition limit $\epsilon - \delta$
$ \lim\limits_{x\rightarrow\infty}{(x + 10\sin x )}$
but i don't know find a $A\in \mathbb R$ that $\forall_{x>A}$ $f(x)>M$ for all $M>0$
how is the treatment with this functions ?
Note that $x+10\sin x \ge x-10$.