Find the Taylor series expansion of e ^xy at (1,1) in powers of x and y upto second degree.
Find the Taylor series expansion of e ^ xy at (1,1) in powers of x and y upto second degree.
Ans
e ^ (xy) \approx e[1 + (x - 1) + (y - 1) + 1/(2!) * [(x - 1) ^ 2 + (y - 1) ^ 2 + 4(x - 1)(y - 1)]]