8. Suppose that V is an open subset of R2, (a, b) E V, and f :

Question:

8. Suppose that V is an open subset of R2,

(a,

b) E V, and f : V -+ R is C3 on V. Prove that 4 127f lim -2 f(a + rcos

e, b + r sine) cos(2e) de = fxx

(a,

b) - fyy

(a, b).

r-+O trr 0

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