What's the difference between beseek and beseem?

Beseek

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Definition:

• (v. t.) To beseech.

Example Sentences:

Beseem

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Definition:

• (v. t.) Literally: To appear or seem (well, ill, best, etc.) for (one) to do or to have. Hence: To be fit, suitable, or proper for, or worthy of; to become; to befit.
• (v. i.) To seem; to appear; to be fitting.

Example Sentences: