I encountered this problem in a set of limit problems:(adsbygoogle = window.adsbygoogle || []).push({});

Limit[ Sin[ Sin[x] ] / x , x-> 0 ]

According to what my book says, if the interior function in the sine approaches zero and the denominator also approaches zero, then the limit is 1; which, as I verified, is the answer. But is there a way to solve this limit by analytic means by using the simple limit rules combined with the basic trig limits (i.e. not L'Hopital's Rule)?

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# The limit Sin[ Sin[x] ] / x as x->0

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