Your rewritten sentence is closer in meaning to 'when you come come back ....'s1. If you come back tomorrow, you'll get more services.
-> Coming back tomorrow, you'll get more services.Not without changing the meaning
And if-clauses can be
transferredchanged to to-infinitives.Your first clause does not mean the same as 'To see her dancing, ...'
s2. If you see her dancing, you'd think she was a pro-dancer but she wasn't.Not without changing the meaning.s3 is not correct English. It needs to be something like 'By taking exercise every day (two words), you will become healthy'.Can
Aall theif-clauses that can be transferred to participle clauses canalso be transferred to to-infinitives?
Some grammar book (Practical English Usage by Michael Swan, which I read recently...) says
in 'to see sb ~, you'd think ~' situation, to-infinitives are used.
But other grammar books have examples like
s3. To take exercise everyday, you will get healthy.
s4. To join the army, I'd be glad.
s5. To see the beautiful lake, you'd never forget it.
s4 is not correct - it can be only 'Id be glad to join the army'.
s5 just does not work.
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