Is the solution I posted wrong?
For the last part, using L'Hopital's rule on (1 - xln(2))/2^x gives me -ln(2)/[ln(2) * 2^x] = -1/2^x = 0 (ignoring the limit operators - is operator the right word?).
Is the solution wrong or am I not seeing something?
Any input would be appreciated!
Thanks in advance!
Out of curiosity, I don't understand why the problem uses the function , it is not necessary. For example for (a) for all which implies is increasing and its limit is easily obtained by elemental computations. For (b) , which implies is decreasing etc.