# AP Calculus 2.3 Limits

AP Calculus 2.3 Limits. Which of the following facts is helpful in determining the limit?

AP Calculus | Limits |

MPAC 2 | Connecting concepts |

### Transcript

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

one of those choose the right roman numerals questions In

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

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

through each option and pick out the ones that are

true Roman numeral one negative one over acts is less

than or equal to sign of acts over x is

also less than or equal to one over x Well

when we deal with trying to find limits have founded

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

for the squeezing serum dresses It works much better with

functions that goes with it squeezing terms as if the

output of a function f of acts is always between

the outputs of two other functions g of axe and

h of x and g of axe and h of

x both approached the lind l as x approaches infinity

then the function half of acts also obstruct his scalp

as x approaches infinity Okay so we know from the

basic during function graph sign of acts that the y

values of sine x are limited betweennegative one and one

in other words sign effects is unfounded So if we

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

1 over acts It is less than or equal to

sign x over x which is last center equal to

one over x This will definitely help us find the

limit The boom roman numeral one is correct and we

can cross off answers Be seeing me because well they

include one group Now we just have to check to

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

answer Choice with options One two three All being through

the next step in applying squeezing term is to actually

find the limits His ex approaches infinity of each of

the parts of the inequality The negative one over accident

signed x over act and the one over act which

means we just have to know the limit of one

overnegative acts and won over axes X approaches infinity For

that we have statement too statement to tells us that

the limit of one over axes x approaches is zero

Perfect Of course we still need to know the limit

of negative one over access x approaches infinity to solve

the limit as x approaches Infinity of sine x overact

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