1.

Let f(x)={{:(x^(n)sin(1//x^(2))","xne0),(0","x=0):},(ninI). Then

Answer»

`(pi)/(2)`
`(pi)/(2sqrt(2))`
`(pi)/(sqrt(2))`
`sqrt(2)pi`

Solution :For `NGT0, underset(xto0)LIMX^(N)sin(1//x^(2))=0xx(" any value between-1 to 1")=0`
For `nlt0,underset(xto0)limx^(n)sin(1//x^(2))=ooxx(" any value between-1 to 1")=+-oo`


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