If g(x)=(2h(x)+|h(x)|)/(2h(x)-|h(x)|)\r\nwhere h(x)=sinx-sin^n x ,n in R^+,\r\nthe set of positi...

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If g(x)=(2h(x)+|h(x)|)/(2h(x)-|h(x)|)\r\nwhere h(x)=sinx-sin^n x ,n in R^+,\r\nthe set of positive real numbers, and\r\nf(x)={[g(x)],x(0,pi/2)uu(pi/2,pi) and 3,x=pi/2\r\n\r\nwhere [.] denotes greatest integer function. Then\r\n(a)f(x)\r\nis continuous and differentiable\r\nat x=pi/2,\r\nwhen 0ltnlt1 (b)f(x) is continuous and differentiable at x=pi/2, when ngt1\r\n\r\n(c)f(x)\r\nis discontinuous and non\r\ndifferentiable at x=pi/2,for0ltnlt1 (d)f(x) is continuous but not differentiable at x=pi/2, when ngt1
Class: 12
Subject: MATHS
Chapter: CONTINUITY AND DIFFERENTIABILITY
Board:IIT JEE

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