1.
If where [.] denotes the greatest integer function, then belongs to the interval
2.
is equal to
3.
If , then the value of is
4.
If then is equal to
5.
is equal to
6.
The sum of the infinite series
sin^-^1 \left (\frac{1}{\sqrt 2} \right )+sin^-^1 \left (\frac{\sqrt 2 - 1}{\sqrt 6} \right )+sin^-^1 \left (\frac{\sqrt 3 - \sqrt 2}{\sqrt 12} \right )+...+...+sin^-^1 \left (\frac{\sqrt n - \sqrt {n-1}}{\sqrt { \left \{ n(n+1) \right \}}} \right )+...
is
7.
If and , then
8.
If
9.
If is a root of equation where 0< then the principle value of is
10.
If , then the value of is
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