MathematicsMedium179×since 2002Q4277Let [x] denote the greatest integer less than or equal to x. Then limx→0tan(πsin2x)+(∣x∣−sin(x[x]))2x2\mathop {\lim }\limits_{x \to 0} {{\tan \left( {\pi {{\sin }^2}x} \right) + {{\left( {\left| x \right| - \sin \left( {x\left[ x \right]} \right)} \right)}^2}} \over {{x^2}}}x→0limx2tan(πsin2x)+(∣x∣−sin(x[x]))2Aequals π\piπ + 1Bequals 0Cdoes not existDequals π\piπCheck answerSkip