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  3. hint given by the professor f is continuous at xc...

Question: hint given by the professor f is continuous at xc...

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hint given by the professor: f is continuous at x=c iff (1) f(c)=L (2)lim x->c+f(x) = lim x->c- f(x) = L. you only need to give the fact that y is continuous for the given function when y=0. There is no need to compute Furbini.

Question 3 (5 points) The function f(x,y) = cos(xy) is continuous on [0, π/2] , therefore the double integral is well defined, and R-lo, π/2] is equal to the iterated integral(ry)dzdy by the Fubini Theorem. However, the inner integral cos(zyjdz=-sin(xy) seems to be undefined when y-0. Is this a contradiction with the ere.

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