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Question
Evaluate the following:
`lim_(x->0) (sin^2 3x)/x^2`
Solution
`lim_(x->0) (sin^2 3x)/x^2`
`= lim_(x->0) (sin 3x)/x xx (sin 3x)/x`
`= lim_(x->0) (3 sin 3x)/(3x) xx (3 sin 3x)/(3x)`
`= 3xx3 lim_(x->0) (sin 3x)/(3x) xx lim_(x->0) (sin 3x)/(3x)`
= 9 × 1 = 9
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