xpand f(xy) = e"sin y in the powers of x and y as far as the terms of third degree
Question
Solution 1
To expand the function f(xy) = e*sin y in the powers of x and y up to the terms of third degree, we can use the Taylor series expansion. The Taylor series expansion of a function f(x) around a point a is given by:
f(x) = f(a) + f'(a)(x-a) + (1/2!)f''(a)(x-a)^2 + (1/3!)f'''(a)(x-a)^3 + ...
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