thank you for___(ask)me to your birthday party

选1

thank sb. for doing sth 是固定词组

ask是“问”的意思
asking用于一般现在时或一般将来时
ask to是“邀请”的意思
所以 3

The answer is "asking"
It's a common structure"thanks for doing sth"

有一个动词了,选一个不是动词的就行了
一个句子就一个动词

选asking
for 后一般跟动名词，

Thank you for doing sth.
答案你知道了吧。。