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lim(x->0)sin(picos^2x)/(x^2)=...

`lim_(x->0)sin(picos^2x)/(x^2)=`

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`Lim_(x->0) sin(picos^2x)/x^2`
`=Lim_(x->0) sin(pi(1-sin^2x))/x^2`
`=Lim_(x->0) sin(pi-pisin^2x)/x^2`
`=Lim_(x->0) sin(pisin^2x)/x^2`
`=Lim_(x->0) sin(pisin^2x)/(pisin^2x)*(pisin^2x)/x^2`
We know, `Lim_(x->0) sin(f(x))/(f(x)) = 1`
So, our limits becomes,
`=1*pi(1) = pi`
...
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