Choose the most suitable non-finite verb to complete the sentence:
I know you are going _______ lots of fun.

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have

answer is C.

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Option A - 'Have' may be a finite variety of the verb because it explains the tense of the sentence, and it also agrees with the verb.
Option B - 'Having' is the participle style of the verb and could be a finite verb because it explains the tense.
Option C - 'To have' may be an infinitive (a variety of non-finite verbs) and is a non-finite verb because it doesn't explain the tense of the sentence.
Option D - 'Will be having' is grammatically incorrect and cannot be used here. Because the given sentence already has 'are going, it needs a non-finite verb and not a finite verb/helping verb.
Note: In option B - the verb within the sentence is already within the participle form, we won't place another verb in participle form, too that is also a reason why we cannot use it.