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bug in iscont?

Doug Meade 3043
November 05 2007
0
Can anyone explain why Maple has so much trouble deciding if sqrt(2^x+x^4) is continuous for k>=1? 
f := 2^x+x^4;
                                      x    4
                               f :=  2  + x 
iscont( f, x=1..infinity );
                                    true
iscont( sqrt(f), x=1..infinity );
                                    FAIL
iscont( sqrt(f), x=1..100 );
                                    FAIL
solve( f>0, x );
                                      x
Accoring to the online help for solve,inequal, the last result means Maple understands that f>0 for all real values of x. So, given all of this, what is the problem deciding that sqrt(f) is continuous for x>=1? OR, is this a bug? Doug
infinity

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