Question

指数函数证明若a>0,b>0,且a+b=c,求证：当r>1时,a^r+b^r

Answer 1

（a^r+b^r）/c^r=(a/(a+b))^r+(1-a/(a+b))^r

令a/(a+b）=x,由a>0,b>0,知0