jee_main_2026_24_january_evening - Limits, Continuity and Differentiability Topics

Master these core formulas and structures to solve almost any past paper question.

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QUESTION #20 Continuity of Piecewise Functions
Let [t] denote the greatest integer less than or equal to t. If the function f(x)= casesb² ((π)/(2)[(π)/(2)( x+ x) x])&,x<0 x-(1)/(2) 2xx³&,x>0a&,x=0 cases is continuous at x = 0, then a² + b² is equal to
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