1.

Let f(x) = [{:((pi/2.sin^(-1)(1-x^(2))sin^(-1(1-{x})))/(sqrt(2((x)-(x)^(3)))), "for " x ne 0),(""pi/2, x=0):} where {x} is the fractional part of x. Consider another function g(x), such that g(x) = {{:(f(x), for, x ge 0),(2sqrt(2)f(x), for , x lt 0):} Discuss the continuity of the function f(x) & g(x) at x=0.

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ANSWER :A::B::C::D


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