I am happy seeing you succeed.
This means, effectively, I am happy while I'm seeing you succeed. There is a slight implication of causality -- I am happy because I see you succeeding -- but not that strong.
For example, if I said, "I am happy waiting here", I would mean that waiting is acceptable, that it would not make me unhappy to wait while the other person went and did something.
I am happy to see you succeed.
This could mean exactly what you think -- I am happy because I see you succeeding -- but in other constructions it could mean I am volunteering for something, or saying I would stand by while it happened. "I am happy to help you move" is me volunteering to help. "I am happy to watch you kill yourself" is a way of saying I won't interfere.
I want you to succeed.
This can only be interpreted literally.
I want you succeeding.
This means "I want to maintain you in the state of being successful". A doctor might say, "I want you exercising and eating right" -- he wants you to do that every day.
I want your succeeding.
This is grammatically correct but not idiomatic. "Your succeeding" is a legitimate noun-phrase, but saying "I want it" usually means I want to possess something, not that I want that thing to occur. So "I want a birthday party" sounds childish; says, "I want to have a birthday party."
"Your succeeding is important to me" is more idiomatic, but using the gerund "succeeding" as a noun sounds odd when there is an independent noun "success" that could be used instead.
1) He denied being married. = The past tense of: He denied being married at the time (moment) he denied it.
2)One can also say: He denies [in the present] having been married [at an undefined time in the past].The past tense of the preceding sentence is:
3) He denied having been married = He denied [at a particular moment in time] being married at some undefined time in the past BEFORE the time of denial.
Best Answer
"admitted to having spent" and "admitted to spending" mean the same. "Admitted to having spent" is correct and exact use of the past perfect gerund, but in colloquial language this is often simplified and the gerund of present tense is used instead.