i have a sequence of function and i cannot find the correct bound for it. can someone help me out here? thanks in advanced!
Let a>1; x any real number..
1/(1+|x+k|)^a < M(sub)k such that the series M(sub)k, k= -infinity to +infinity is convergent.
i have a sequence of function and i cannot find the correct bound for it. can someone help me out here? thanks in advanced!
Let a>1; x any real number..
1/(1+|x+k|)^a < M(sub)k such that the series M(sub)k, k= -infinity to +infinity is convergent.
inequality is not true for all x.. note that x can have a negative value.. hence, f(sub)k may not be less than 1/k^a..
another thing, a is the exponent of the whole denominator not just the absolute value..
thanks anyway..
EDIT: i mean, how will you bound f(sub)k on (-inf,0) for k>0?