I am wondering whether it's convenient for you to go shoppin

表示邀请用 was wondering 表示比较委婉.
I was wondering if I can invite you to the party tonight.我能请你今晚来参加派对吗?
am wondering 是表示怀疑的意思.
I am really wondering if it will rain tonight.
我怀疑今天晚上会不会下雨.