Find the limit for the given function. http://www.webassign.net/www15/symIm...b5cfe243c9.gif

i know that i need to divide through by x, both top and bottom, but what do i do after this?

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- Jan 26th 2008, 05:18 PMplstevensFind the limit for the given function.
Find the limit for the given function. http://www.webassign.net/www15/symIm...b5cfe243c9.gif

i know that i need to divide through by x, both top and bottom, but what do i do after this? - Jan 26th 2008, 05:20 PMJhevon
note that: $\displaystyle \frac {\sin 4x}x = \frac 44 \cdot \frac {\sin 4x}x = 4 \cdot \frac {\sin 4x}{4x}$

thus: $\displaystyle \lim_{x \to 0} \frac {\sin 4x}x = 4 \lim_{x \to 0} \frac {\sin 4x}{4x}$

now continue

Hint: this is in the form of a special limit

Quote:

i know that i need to divide through by x, both top and bottom, but what do i do after this?

- Jan 26th 2008, 09:58 PMplstevens
I'm confused i still don't know what to do

- Jan 26th 2008, 10:20 PMmr fantastic
- Jan 27th 2008, 06:32 PMplstevenswhich are continuous functions
Which of the following are continuous functions? (Select all that apply.)

The temperature at a specific location as a function of time.

The temperature at a specific time as a function of the distance due west from New York City.

The altitude above sea level as a function of the distance due west from New York City.

The cost of a taxi ride as a function of the distance traveled.

The current in the circuit for the lights in a room as a function of time.

None of these. - Jan 27th 2008, 09:06 PMmr fantastic
Memo: Start a new thread for a new and unrelated problem. This question has been answered here.