12 Jun
2011
12 Jun
'11
10:14 a.m.
We have In[735]:= # == Normal[Series[#, {x, 0, 23}]] &[Tan[Sin[x]] - Sin[Tan[x]]] Out[735]= -Sin[Tan[x]] + Tan[Sin[x]] == x^7/30 + 29 x^9/756 + 1913 x^11/75600 + 95 x^13/7392 + 311148869 x^15/54486432000 + 10193207 x^17/4358914560 + 1664108363 x^19/1905468364800 + 2097555460001 x^21/7602818775552000 + 374694625074883 x^23/6690480522485760000 Without using a computer, prove or disprove: The terms of the infinite series are nonnegative. --rwg Hey--get your hands off that keyboard! Hey--you're reading the screen! Oops, OK, you can read the screen. (J: cc Varun?)