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Thank you We sneak here's your shmoop too sure brought

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to you by x values which are of course the

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values you store in your x files Somebody's listening art

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If the limit as x approaches a of half of

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acts people's l then which of the following are true

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Okay here the potential answers Ah this is better This

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problem is purely conceptual so we won't have to do

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any calculations Thank goodness we just need to determine which

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combination of the three given statements is true Well if

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we remember the definition of a limit we can easily

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tell that statements one into our true function on lee

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has a limit at a value A both the left

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and right limits are the same In other words both

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sides of the function have to approach the same values

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Respect stand Since if i didn't we wouldn't have a

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single limit either way at least we're not limitless Fine

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Now that we know the first two statements are true

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Will display statement three because we can statement three says

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that value at a must be equal to the limit

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of the function as x approaches a to disprove this

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We just need to think of a case where this

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isn't true Well one example where the function f of

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x is not continuous at a but has a limit

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in this case f of a one point five but

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its limit as x approaches a is one They're different

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So statement Three False Great Now that we know statement

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three falls we can be sure answers The on ly

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statements wanted were true you It was certainly a giant 00:01:37.051 --> [endTime] leap for math kind

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