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Question: maximize function, Weierstrass M-test

Question:maximize function, Weierstrass M-test

Karel Srot 216 Maple
March 20 2007
1
I would like to write a procedure which uses the Weierstrass M-test on uniform convergence. I wanted to use the maximize function (to recognize if the function is bounded and to get upper bound) but this function doesn't work in many simple cases. assume(x::float); assume(n::integer); maximize(2*sin(x)+cos(x)); 
          maximize(2 sin(x~) + cos(x~))
maximize((-1)^n); 
          -infinity
 Actually, I don need maximize function but just to get any upper bound. Is there a way?
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