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Evaluate the following limit: lim(x->0)(...

Evaluate the following limit: `lim_(x->0)(x^2)/(sin x^2)`

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`lim_(x->0) (x^2)/(sin x^2)`
`= lim_(x->0) (x^2)/( x^2-{(x^2)^3}/{3!}+ {(x^2)^5}/{5!}+ldots)`
`=lim_(x->0) (x^2)/( x^2(1-{x^4}/{3!}+ {x^8}/{5!}+ldots)`
`=lim_(x->0) 1/(1-{x^4}/{3!}+ {x^8}/{5!}+ldots)`
`=1`
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