Question

Alguien me da un ejemplo de cada cosa:
Gerunds:
1. subject of a sentence.
2. following a preposition.
3. object of a verb.
Infinitives:
1. following an adjective.
2. following a noun or pronoun.
3. object of a verb.

Answer 1

Gerund...

1. As subject:

"Learning fast is convenient"

2. After a preposition:

"After having a coffee, I went home"

3. As an object:

"I don't like studying"

Un gerundio es un verbo (terminado en "-ing") usado como sujeto u objeto en una frase.

Infinitive...

1.  After an adjective:

"She was too tired to study"

2. After a noun:

"He allowed me to use my computer"

3. As object of a verb:

"I need you to read this"