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Evaluate lim(xto0) sin(picos^(2)x)/(x^(2...

Evaluate `lim_(xto0) sin(picos^(2)x)/(x^(2)).`

Text Solution

Verified by Experts

`underset(xto0)limsin(picos^(2)x)/(x^(2))=underset(xto0)limsin(pi-picos^(2)x)/(x^(2))`
`=underset(xto0)limsin(pisin^(2)x)/(pisin^(2)x)xx(pisin^(2)x)/(x^(2))=pi`
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