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Find the values of x for which expressi...

Find the values of x for which expression `sqrt(1-sqrt(1-sqrt(1-x^(2))))` is meaningful.

Text Solution

Verified by Experts

`sqrt(1-sqrt(1-sqrt(1-x^(2))))` is meaningful if
`1-sqrt(1-sqrt(1-x^(2))) ge 0`
or `sqrt(1-sqrt(1-x^(2))) le 1`
or `1-sqrt(1-x^(2)) le 1`
or `sqrt(1-x^(2)) ge 0`
or `1-x^(2) ge 0`
or `x^(2) le 1 " or "x in [-1,1]`
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