Underline the form of to do or to have in the sentence.

Today, many do their best to learn about Einstein's work.

Also, what does the "to do" and the "to have" mean?

Today, many do their best to learn about Einstein's work.

What better place to find definitions than in a dictionary!

http://dictionary.reference.com/browse/do

http://dictionary.reference.com/browse/have

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In the sentence, "Today, many do their best to learn about Einstein's work," the form of "to do" is "do" and the form of "to have" is not present.

The phrase "to do" is used here as an auxiliary verb, functioning to form the base form of the main verb "learn." It is also used to indicate the tense of the verb, as "do" is in the present tense.

The phrase "to have" is not present in the given sentence, but typically it acts as an auxiliary verb to form the perfect aspect of a verb. For example, "I have eaten," where "have" is used in conjunction with the past participle form of the verb "eat."

In general, "to do" and "to have" are known as auxiliary verbs or helping verbs. They assist in forming certain verb tenses, questions, negatives, and emphasis in English sentences. "To do" is particularly used to form questions and negatives in the present simple and past simple tenses, while "to have" is used to form verb tenses related to completion or possession.