**Session Date:**9/24/2017 5:42PM ET

**Length:**10.7 minute(s)

**Subject:**Math - Calculus

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Moushumi (Customer)

[00:00:00] on file

John S (Tutor)

[00:00:12] Welcome! How can I help you today? Hello.

[00:00:29] Welcome back.

Moushumi (Customer)

[00:00:50] i had one more quesitn

John S (Tutor)

[00:00:54] ok

[00:01:32] We can start out by assigning values to the two limits.

[00:02:13] Have you learned some rules about limits which we can use?

Moushumi (Customer)

[00:02:23] yeah

John S (Tutor)

[00:02:30] Great.

Moushumi (Customer)

[00:02:44] well i know that l1 x l2 will be the liminmt

[00:02:47] limit

John S (Tutor)

[00:03:35] Are we supposed to use epsilon-delta proofs for this problem?

[00:03:41] They can be quite difficult.

Moushumi (Customer)

[00:03:44] i really do not know

[00:03:49] it said to use the definition of a limit

John S (Tutor)

[00:03:52] Probably not.

[00:04:29] We can prove what is asked if we can show that....

[00:05:42] Does that make sense?

Moushumi (Customer)

[00:05:59] yes

John S (Tutor)

[00:06:05] Cool.

[00:06:36] If we multiply the two functions together we can find the limit of the product by taking the product of the limits.

Moushumi (Customer)

[00:06:41] yes

John S (Tutor)

[00:06:47] That is what we are trying to prove.

[00:06:56] I believe we have done that with that one line.

[00:07:01] What do you think?

Moushumi (Customer)

[00:07:16] how are we using the definition of the limit?

John S (Tutor)

[00:07:38] The definition of the limit is implied in ...

Moushumi (Customer)

[00:08:16] okay!

John S (Tutor)

[00:08:42] Do you have any other questions?

Moushumi (Customer)

[00:10:18] I got it! Thanks!

John S (Tutor)

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[00:10:33] Have a great evening. :^)

[00:10:35] Bye.