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Thank you We sneak here's your smoke too Sure brought

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to you by sine x If you're having signed x

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problems we recommend suiting All right which of the following

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facts is helpful in determining the limit of sine x

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over acts as x approaches npr All right And here

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the potential answers This is it Okay so we've got

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one of those choose the right roman numerals questions In

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this case we're trying to see which one of these

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facts helps us determine the limit Ok so let's go

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through each option and pick out the ones that are

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true Roman numeral one negative one over acts is less

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than or equal to sign of acts over x is

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also less than or equal to one over x Well

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when we deal with trying to find limits have founded

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trig functions like this we know instantly it's a job

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for the squeezing serum dresses It works much better with

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functions that goes with it squeezing terms as if the

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output of a function f of acts is always between

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the outputs of two other functions g of axe and

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h of x and g of axe and h of

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x both approached the lind l as x approaches infinity

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then the function half of acts also obstruct his scalp

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as x approaches infinity Okay so we know from the

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basic during function graph sign of acts that the y

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values of sine x are limited betweennegative one and one

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in other words sign effects is unfounded So if we

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just divide the entire inequality by Acts we'd get negative

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1 over acts It is less than or equal to

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sign x over x which is last center equal to

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one over x This will definitely help us find the

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limit The boom roman numeral one is correct and we

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can cross off answers Be seeing me because well they

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include one group Now we just have to check to

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see if roman numeral two is correct Since there's no

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answer Choice with options One two three All being through

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the next step in applying squeezing term is to actually

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find the limits His ex approaches infinity of each of

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the parts of the inequality The negative one over accident

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signed x over act and the one over act which

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means we just have to know the limit of one

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overnegative acts and won over axes X approaches infinity For

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that we have statement too statement to tells us that

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the limit of one over axes x approaches is zero

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Perfect Of course we still need to know the limit

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of negative one over access x approaches infinity to solve

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the limit as x approaches Infinity of sine x overact

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bye Statements one into both Tell during the limit Statement 00:02:39.23 --> [endTime] from him to our true Our answers Yeah

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