Question

（2的X次方加上3的X次方减去2）除以X的极限为多少

Answer 1

ln(2)+ln(3)
limx->0 [(2^x+3^x-2)/x]
=limx->0 [(2^x)*ln(2)+(3^x)*ln(3)] 用洛必达法则上下微分后再取极限
=(1)*ln(2)+(1)*ln(3)
=ln(2)+ln(3)