# AP Calculus 1.4 Limits

AP Calculus 1.4 Limits. Given the limit, which of the following are true?

AP Calculus | Limits |

MPAC 4 | Connecting multiple representations |

MPAC 5 | Building notational fluency |

### Transcript

Okay here the potential answers Ah this is better This

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

any calculations Thank goodness we just need to determine which

combination of the three given statements is true Well if

we remember the definition of a limit we can easily

tell that statements one into our true function on lee

has a limit at a value A both the left

and right limits are the same In other words both

sides of the function have to approach the same values

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

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

Now that we know the first two statements are true

Will display statement three because we can statement three says

that value at a must be equal to the limit

of the function as x approaches a to disprove this

We just need to think of a case where this

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

x is not continuous at a but has a limit

in this case f of a one point five but

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

So statement Three False Great Now that we know statement

three falls we can be sure answers The on ly

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