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JEE Advanced Model Paper 2 with solutions for online practice

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Answer Q - 49 , Q - 50 and Q - 51 by appropriately matching the information given in the three columns of the following table
Column-I Column-II Column-III
A) f(x) = fracx(e1/x−e−1/x)(e1/x+e−1/x),xneq0;0,x=0\\{\\frac {x(e^{1/x}-e^{-1/x})}{(e^{1/x}+e^{-1/x})}} , x \\neq 0 ; 0 , x = 0 I) Continuous P) Not differentiable
B) f(x) = Σ↖∞↙n=0xn/n!(loga)nΣ↖{∞}↙{n=0}x^n/{n!}(loga)^n at x = 0 II) Continuous Q) Differentiable
C) f(x) = [x2x^2] + [−x2-x^2] at x = 2 where denotes GIF III) discontinuous R) Notdifferentiable
D) f(x) = 1 - 2x + 3x2x^2 - 4x3x^3 + ..... at x IV) discontinuous S) differentiable
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