# limit on infinity of trigonometric function Sin x

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 ?

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Note that $x+10\sin x \ge x-10$.