Let 0<a<b and p1>0 and p2>0 be integers. The question is to prove the following identity:
b∑j=a(jp1)(jp2)=p2∑q=0(−1)q+1[(a+qp1+q+1)(ap2−q)−(b+1+qp1+q+1)(b+1p2−q)]
Can this identity be generalised for p1,p2 being real?
How to find lim without lhopital rule? I know when I use lhopital I easy get $$ \lim_{h\rightarrow 0}...
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