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1433Fractional Linear RemainderCompute lim x->0 [((1+x)/(1-x)) - 1 - 2x] / x 2.数学中等数值题未尝试免费1434Tangent Minus IdentityCompute lim x->0 (tan x - x) / x 3.数学中等数值题未尝试免费1436Cosine Defect at Double FrequencyCompute lim x->0 [1 - cos(2x)] / x 2.数学简单数值题未尝试免费1437Cube-Root LinearizationCompute lim x->0 [ (1+2x) (1/3) - 1 ] / x.数学简单数值题未尝试免费1438Sequence Limit From a Square RootCompute lim n->∞ n[(1+2/n) (1/2) - 1].数学中等数值题未尝试免费1439Logarithmic Sequence CorrectionCompute lim n->∞ n 2 [ln(1+1/n) - 1/n].数学困难数值题未尝试面试订阅1442Exponential Minus CosineCompute lim x->0 [e x - cos x - x] / x 2.数学中等数值题未尝试免费1443Arcsine Cubic RemainderCompute lim x->0 [arcsin x - x] / x 3.数学中等数值题未尝试免费1445Product-Log CancellationCompute lim x->0 [ (1+x)ln(1+x) - x ] / x 2.数学困难数值题未尝试面试订阅1448Mixed-Expansion Limit 3Compute lim (x->0) [ln(1+2x) - 2 arctan(x)] / x 2.数学中等数值题未尝试免费1449Mixed-Expansion Limit 4Compute lim (x->0) [e x cos(x) - 1 - x] / x 2.数学中等数值题未尝试免费1470Repeating-Block Power Series 5Let a n repeat the block [4, -2, 1] forever. Evaluate sum (n=1) inf a n * (1/6) n.数学困难derivation未尝试面试订阅1476Clipped Floor Integral 1Evaluate integral 0 1 max(x, 1/5) dx.数学简单derivation未尝试免费1498Exponential Tail Integral 3Evaluate integral 0 inf x e (-3x) dx.数学中等derivation未尝试免费1511Local Log-Carry Curvature 1Compute the x 2 coefficient in ln(1+5x) - ln(1+2x) - (3)x.数学简单数值题未尝试免费1512Cross-Asset Log Ratio Curvature 2Compute the x 2 coefficient in ln(1+4x) - ln(1+-1x) - (5)x.数学简单数值题未尝试免费1521Quadratic Stress Calibration 1Choose c so that exp(2x + c x 2) - 1 - 2x has quadratic coefficient 5.数学简单数值题未尝试免费1523Asymmetric Buffer Calibration 3Choose c so that exp(-1x + c x 2) - 1 - -1x has quadratic coefficient 4.数学中等数值题未尝试免费1626Recovering a Three-Point Support Scale From Two MomentsA random variable takes values 0, a, and 3a with probabilities 1-2p, p, and p. If the empirical first two raw moments are m 1 and m 2, solve for a and p by method of moments.统计简单derivation未尝试免费1627Sparse Symmetric Shock Model From Variance and Fourth MomentA symmetric shock variable takes values -a, 0, and a with probabilities p, 1-2p, and p. If the sample second and fourth raw moments are m 2 and m 4, solve for a and p by method of moments.统计中等derivation未尝试免费